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Derivative Calculus

05/06/21

Derivative Equations

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Derivative Calculus Derivatives

05/04/21

Find f’(2) for f(x)= 1/x-3 using the definition of the derivative

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Derivative Calculus Derivatives

05/03/21

Consider the function, f(x) = √x-4 (square root goes over x-4) at the point (8,2) find the slope of the tangent line to the curve using the definition of the derivative

And find the equation of the tangent line. I am confused on how to treat the square root as I haven’t covered a question using them like this yet.

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Derivative Calculus

05/02/21

Consider the function f(x)=4-x^2 at the point (3,-5) find the slope of the tangent line to the curve using the definition of the derivative

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Derivative Calculus Precalculus Limits Of A Function

04/29/21

Find the instantaneous rate of change using the definition of derivative for f(x)=5x^2+4x at x=3

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Derivative Calculus Precalculus

04/29/21

Find the derivative using the definition of the derivative for 𝑓(𝑥) = 2𝑥^3 + 5𝑥 − 3

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Derivative Calculus Limits Of A Function

04/26/21

Given f(x) = x^3 if x<1 and ax^2+bx +c if x ≥ 1 find the values of a, b, and c such that f''(1) exists

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Derivative Calculus

04/24/21

A television camera at ground level away from the launching pad of a space rocket

A television camera at ground level is 2000 feet away from the launching pad of a space rocket that is set to take off vertically, as seen in the following figure. The angle of elevation of the... more

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Derivative Calculus

04/23/21

The marginal profit from the production and sale of x barbeque grills is given by P`(x) = 52-0.8x dollars per grill. Find the average marginal profit from the first 40 grills produced and sold.

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Derivative Calculus

04/17/21

How do you find the first derivative of an equation that has a minus sign, but is not solved by the product rule?

Hello! I tried to find z'(x) where two functions p(x) and d(x) are used. The equation is z(x) = 7*p(x) - 4*d(x). I've tried using the product rule to solve it, but the website I'm submitting it on... more

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Derivative Math Calculus

04/13/21

Find the directional derivative of f(x,y)=sin(x+2y) at the point (1, 2) in the direction pi/6.The gradient of f is:

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Derivative Calculus Integral

03/28/21

AP CALC AB: Interpretations & Applications of the Derivative & Definite Integral

How would you solve for a) & b) with a calculator?I have a TI-89 Titanium.At time t=0, a tank contains 38 gallons of water. Beginning at t=0, water flows into the tank at a rate of E(t) =... more

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Derivative Math Calculus Algebra

03/26/21

For the first 120 seconds after launch, the altitude of a rocket in metres ‘h’ can be described as a function of time ‘t’, in seconds.

For the first 120 seconds after launch, the altitude of a rocket in metres ‘h’ can be described as a function of time ‘t’, in seconds.h=0.1t^2 + 2tQuestion: True or false?: the rocket's vertical... more

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Derivative Math Calculus Trig Functions

03/23/21

Find the derivative of the following functions: (Please show steps)

f(x)= secx = 1/cosx 2. f1(x) = 1/2x If f1(x)=4(x), then f(x) is

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Derivative Math Calculus Exponential

03/23/21

Find the equation of the tangent line to the curve:

Find the equation of the tangent line to the curve f(x)=2x at the point P(0,1) is:

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Derivative Math Calculus

03/23/21

Find the derivative of the following functions with steps please

y=(1+logsinx)n f(x)= 3√log2sin x+3/4 (square root over whole equation)

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Derivative Calculus Integral Calculus Integral

03/22/21

estimate the area betweem the graph of f(x)=-x^2+5x and the x axis on the interval [1,5] using a left-hand sum with 4 rectangles of equl width.

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Derivative Calculus Integral Calculus

03/20/21

Use the trapzoid rule to estimate the distance traveled by the car during the 12 seconds

A car going 88 ft/sec brakes to a stop in 12 seconds. The velocity is recorded every 3 seconds and is given in the table below. Use the trapezoidal rule to estimate the distance traveled by the car... more

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Derivative Calculus Integral Integration

03/20/21

What is the right hand riemann sum approximation

A function f is continuous on the closed interval [4,12] and differentiable on the open interval (4,12) and f has the values below. Using 4 subintervals, what is the right hand riemann sum... more

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Derivative Math Calculus

03/18/21

Find the derivative of: 4 √x − 8/x^6

Type your answer without fractional or negative exponents. Use sqrt(x) for √ x .Thnak you!

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Derivative Calculus L'hopitals Rule

03/17/21

Use l'hopitals rule to evaluate the limit or state it does not apply

Lim x->-1 (x^3+x+2)/(x^4-2x-3) lim x->1 (e^x -e)/Inx

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Derivative Calculus Functions

03/15/21

Let g(x)=x^2-2. The equation of the tangent line to the curve at (-1,-1) is 2x+y=-3.

a. What is the slope of the tangent line to the curve at (-1,-1)?b. What is the derivative of the function when x=-1?

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Derivative Calculus Functions

03/15/21

Let f(x)=4-x^2. The equation of the tangent line to the curve at (1,3) is 2x+y=5.

a. What is the slope of the tangent line to the curve at (1,3)?b. What is the derivative of the function when x=1?

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Derivative Differential Equations Logarithm

03/14/21

Use logarithmic differentiation to calculate the derivative of f(x) = (1 + x)^(sin^2 x)

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Derivative Math Calculus Integral Calculus

03/08/21

Use the Fundamental Theorem of Calculus to carry out the following differentiation:

Use the Fundamental Theorem of Calculus to carry out the following differentiation:d ∫1√x tt dt= ?dxintegral from 1 to sqrt x

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Derivative Equations

Find f’(2) for f(x)= 1/x-3 using the definition of the derivative

Consider the function, f(x) = √x-4 (square root goes over x-4) at the point (8,2) find the slope of the tangent line to the curve using the definition of the derivative

Consider the function f(x)=4-x^2 at the point (3,-5) find the slope of the tangent line to the curve using the definition of the derivative

Find the instantaneous rate of change using the definition of derivative for f(x)=5x^2+4x at x=3

Find the derivative using the definition of the derivative for 𝑓(𝑥) = 2𝑥^3 + 5𝑥 − 3

Given f(x) = x^3 if x<1 and ax^2+bx +c if x ≥ 1 find the values of a, b, and c such that f''(1) exists

A television camera at ground level away from the launching pad of a space rocket

The marginal profit from the production and sale of x barbeque grills is given by P`(x) = 52-0.8x dollars per grill. Find the average marginal profit from the first 40 grills produced and sold.

How do you find the first derivative of an equation that has a minus sign, but is not solved by the product rule?

Find the directional derivative of f(x,y)=sin(x+2y) at the point (1, 2) in the direction pi/6.The gradient of f is:

AP CALC AB: Interpretations & Applications of the Derivative & Definite Integral

For the first 120 seconds after launch, the altitude of a rocket in metres ‘h’ can be described as a function of time ‘t’, in seconds.

Find the derivative of the following functions: (Please show steps)

Find the equation of the tangent line to the curve:

Find the derivative of the following functions with steps please

estimate the area betweem the graph of f(x)=-x^2+5x and the x axis on the interval [1,5] using a left-hand sum with 4 rectangles of equl width.

Use the trapzoid rule to estimate the distance traveled by the car during the 12 seconds

What is the right hand riemann sum approximation

Find the derivative of: 4 √x − 8/x^6

Use l'hopitals rule to evaluate the limit or state it does not apply

Let g(x)=x^2-2. The equation of the tangent line to the curve at (-1,-1) is 2x+y=-3.

Let f(x)=4-x^2. The equation of the tangent line to the curve at (1,3) is 2x+y=5.

Use logarithmic differentiation to calculate the derivative of f(x) = (1 + x)^(sin^2 x)

Use the Fundamental Theorem of Calculus to carry out the following differentiation:

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