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Derivatives Business Calculus

04/16/18

Find the equation of the tangent to the graph at the indicated point.

x^2-6x; a=-1

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Derivatives

04/16/18

find the derivative of an equation

can you please help me find the derivative of x^2+(y-5)=25

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Derivatives Trajectory

04/15/18

if the trajectory of a stone is modeled by d=37+7t-4.9t^2 What is the speed of the stone after 2 sec?

If the trajectory of a stone is modeled by d=37+7t-49t^2, where t is the time in seconds and d is the vertical distance in meters. What is the speed of the stone after 2 seconds?

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Derivatives Derivative

04/14/18

derivative of 1/ cuberoot of x , using limit defintion

deravitve of 1/ cuberoot of x , using limit defintion , with steps please

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Derivatives

04/06/18

differentiate w.r.t x: X sin x

it's a math problem of class 11 state board

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Derivatives Calculus Function Integral

03/26/18

Assume s,v, and a are continuous functions and s is twice differentiable, where s(t) represents the position, v(t) is velocity, a(t) is acceleration

Find the following: d/dx of integral from t to t^2 of v(w)dw integral from t to t^2 of v(w)dw second derivative of integral from t to t^2 of v(w)dw Calculus question I am stuck on

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Derivatives

03/26/18

What is the first derivative of 3\sqrt[3]{x^4}-12\sqrt[3]{x}?

3\sqrt[3]{x^4}-12\sqrt[3]{x} Im trying to get critical points for the equation, but im getting very confused on what the correct 1st derivative is.

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Derivatives Differential Equations Functions Vectors

03/24/18

Differential Equation Problem. No clue how to do this.

Find the derivatives of each of the following vectors. x(t) = [ t3 - 2t2 +t etsin(t) ]

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Derivatives Calculus Antiderivative

03/23/18

how to turn this derivative word problem into an antiderivative word problem.

how can i turn this problem into an antiderivative word problem, need help please. A ball is thrown vertically upwards with an initial velocity of 60m/s. After time t seconds, its height above... more

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Derivatives Even Functions

03/20/18

even function with negative first derivative?

I'm pretty sure this scenario is impossible but want to check for sure. I have been asked to graph an even function whose first derivative is negative on the interval (-2,2). Impossible right?

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Derivatives

03/20/18

Let f and g be functions that satisfy f'(2)=-12 and g'(2)=-1, Find h'(2) for the following

I am not sure what to do if I am not given the f(2) value and g(2) value! The functions are as follows 1. h(x)=6f(x) h'(2)=_____ 2. h(x)=-5g(x) h'(2)=_____ Please help!!!!

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Derivatives Calculus

03/20/18

Second derivative of y relative to x^2

y = cos(t) t = sin(x) for x =π what's the value of d2y over dx2

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Derivatives Related Rates

03/18/18

related rates help please!!

A spherical balloon is being inflated so that its volume is increasing at the rate of 10cm3/sec. Find the rate at which the diameter is increasing when the diameter is 20cm?

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Derivatives Rates

03/13/18

A man of height 1.5m walks away from a 5-meter lamppost at a speed of 2.7m/s.

Find the rate at which his shadow is increasing in length in m/sec.

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Derivatives

03/13/18

22m ladder leans against wall. Bottom of ladder is 3m from wall at t=0, and starts to slide away from wall at 1m/sec.

Find the velocity of the top of the ladder at t=2 seconds.

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Derivatives Volume Rate Radius

03/13/18

Radius (r) of sphere is expanding at rate of 9cm/min. Volume of sphere is V=4/3(pi(r^3))

Determine the rate at which the volume is changing with respect to time when r=8cm. (in cm^3/min)

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Derivatives Calculus Limits Calculus Proofs

03/13/18

How can I transform −λ△t= (N(t+△t)−N(t)) / (△t) into the formula dN/dt=−λN using limits?

How can I transform −λ△t= (N(t+△t)−N(t)) / (△t) into the formula dN/dt=−λN using limits? This is in relation to radioactive decay for those that are wondering, thank you for your help and time!... more

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Derivatives Calculus Differentiation

03/11/18

A car leaves an intersection traveling west. Its position 4 sec later is 22 ft from the intersection. At the same time, another car leaves the same intersection

A car leaves an intersection traveling west. Its position 4 sec later is 22 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position 4... more

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Derivatives Calculus Second Derivative Homework Due Tomorrow

03/11/18

Second derivative

Find the second derivative d2y/dx2 of the function defined implicitly by the equation.x1/3 + y1/3 = 94d2y/dx2 = ___________

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Derivatives Calculus Acceleration Homework Due Tomorrow

03/02/18

Distance traveled derivative

The distance S covered by a car after t sec is given by: s=-t3 + 8t2 +20t (0≤t≤6) Find the general expression for the car's acceleration at any time t (0≤t≤6). Show that the car is decelerating... more

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Derivatives Calculus Differentiation Demand

03/01/18

Elasticity of Demand

For the following demand equation compute the elasticity of demand and determine whether the demand is elastic, unitary, or inelastic at the indicated price. (Round your answer to three decimal... more

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Derivatives Calculus Limits Limits And Derivatives

03/01/18

Find each limit by evaluating the derivative of the function

Find each limit by evaluating the derivative of the function limh→0 ((3(2+h)2-(2+h)-10))/h

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Derivatives Logarithic Differentiation

02/27/18

Derivative of y=sqrt(x(x+1))/(e^x((x^2)+2)) using logarithmic differentiation.

The whole equation is under the square root. Thanks.

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Derivatives

02/17/18

derivative of (am/(am+n))^m wrt m

My guess is y=(am/(am+n))^m F.O.C wrt m lny = m* ln(am/(am+n)) (ln on both sides) 1/y * y'= ln(am/(am+n) + m*((am+n)/am)*(a(am+n)-am(a))/(am+n)^2 (chain rule on left hand side, product... more

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Derivatives

02/17/18

1. The functionf: R→ R is differentiable and f(−5) = f(9) = 0. Then the function g(x)=cos(f(x)) satisfies the condition:

A) g′ has at least 3 zeroes B) g′ has at most one zeroes C) g′ has at exactly 3 zeroes D) g′ has an infinite number of of zeroes

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Find the equation of the tangent to the graph at the indicated point.

find the derivative of an equation

if the trajectory of a stone is modeled by d=37+7t-4.9t^2 What is the speed of the stone after 2 sec?

derivative of 1/ cuberoot of x , using limit defintion

differentiate w.r.t x: X sin x

Assume s,v, and a are continuous functions and s is twice differentiable, where s(t) represents the position, v(t) is velocity, a(t) is acceleration

What is the first derivative of 3\sqrt[3]{x^4}-12\sqrt[3]{x}?

Differential Equation Problem. No clue how to do this.

how to turn this derivative word problem into an antiderivative word problem.

even function with negative first derivative?

Let f and g be functions that satisfy f'(2)=-12 and g'(2)=-1, Find h'(2) for the following

Second derivative of y relative to x^2

related rates help please!!

A man of height 1.5m walks away from a 5-meter lamppost at a speed of 2.7m/s.

22m ladder leans against wall. Bottom of ladder is 3m from wall at t=0, and starts to slide away from wall at 1m/sec.

Radius (r) of sphere is expanding at rate of 9cm/min. Volume of sphere is V=4/3(pi(r^3))

How can I transform −λ△t= (N(t+△t)−N(t)) / (△t) into the formula dN/dt=−λN using limits?

A car leaves an intersection traveling west. Its position 4 sec later is 22 ft from the intersection. At the same time, another car leaves the same intersection

Second derivative

Distance traveled derivative

Elasticity of Demand

Find each limit by evaluating the derivative of the function

Derivative of y=sqrt(x(x+1))/(e^x((x^2)+2)) using logarithmic differentiation.

derivative of (am/(am+n))^m wrt m

1. The functionf: R→ R is differentiable and f(−5) = f(9) = 0. Then the function g(x)=cos(f(x)) satisfies the condition:

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