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Derivative Calculus Linear Approximation

11/15/21

The linear approximation at x = 0 to sin ( 6 x ) is A + B x where A is: and where B is

The linear approximation at x=0 to sin(6x) is A+Bx where A is: and where B is

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Derivative Calculus Differential Equations Calc

11/15/21

Compute the differential dy for y=−9x^6−9x4

Compute the differential dy for y=−9x^6−9x^4dy = ?

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Derivative Calculus Differential Equations Functions

11/15/21

If x2+y2=64 and dx/dt=5, find dy/dt when y is positive and

If x^2+y^2=64 and dx/dt = 5, find dy/dt when y is positive and...a) x=0b) x=1c) x=4

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Derivative Math Calculus Integral Calculus

11/15/21

Indefinite integration

Find the indefinite integral for the following:(indefinite integral) (6)/(8e^x+4)dxThank you in advance

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Derivative Calculus Precalculus Functions

11/13/21

How to evaluate this limit?

((((((((https://drive.google.com/file/d/1I7an_KPDQdQ1hcOiBluEnMFNLoQk35dw/view?usp=drivesdk)))))))How is that equal to 1.

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Derivative Calculus

11/10/21

If water flows into the tank at a rate of 20 ft3/min, how fast is the depth of the water increasing when the water is 18 feet deep?

A conical water tank with vertex down has a radius of 15 feet at the top and is 24 feet high. If water flows into the tank at a rate of 20 ft3/min, how fast is the depth of the water increasing... more

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Derivative Calculus

11/10/21

At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 50 ft away from the pole?

A street light is at the top of a 28 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 5 ft/sec.

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Derivative Calculus Functions

11/08/21

Find f′(x^2) if d/dx [f(x^2)] = x^8

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Derivative Calculus Functions Calc

11/08/21

need help with implicit differentiation

Here is the question:Find dy/dx using implicit differentiation.(3x^2+8y)/(4x+5y^2)=-22Here is the answer I got: (6*x^2 + 15*x*y^2 - 16*y)/(15*x^2*y - 16*x + 20*y^2)I know I need to First clear the... more

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Derivative Math Calculus Integral Calculus

11/06/21

A closed rectangular box with faces parallel to the coordinate planes... what is the max volume?

A closed rectangular box with faces parallel to the coordinate planes has one bottom corner at the origin and the opposite top corner in the first octant on the plane 5x+6y+z=1. What is the maximum... more

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Derivative Math Calculus Integral Calculus

11/06/21

What is the shortest distance from the surface to origin

What is the shortest distance from the surface xy+15x+z^2 to the origin?

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Derivative Math Calculus

11/06/21

Find A and B that f(x, y) has a local min at point

Find A and B so that f(x, y)=x^2 + Ay + y^2 + B has a local minimum at the point (0,8), with z-coordinate 10.

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Derivative Calculus Mean Value Theorem

11/01/21

If the speed limit is 60 mph, can the police cite you for speeding.

At 10:17 am you pass a police car at 55 mph that is stopped on the freeway. You pass a second police car at 55 mph at 10:53 am, which is located 39 miles from the first police car. If the speed... more

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Derivative Calculus Maxima Minima

11/01/21

Find the minimum and maximum value of the function f(x)=2sqrtx−3√^3 x on the interval [0,4]

the square root with a ^3 has is a cubed square root

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Derivative Math Calculus Gradient

10/31/21

find directional derivative given angle

If f(x,y) = 1x^2 - 3y^2, find the value of the directional derivative at the point (-4, -1) in the direction given by the angle 𝜃 = 2pi / 3

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Derivative Calculus

10/30/21

How do I find f(x) and a, of this derivative limit

The question says "The limit below represents a derivative of f'(a). Find f(x) and a.The problem it gives me is lim (h->0) ((2+h)^4-16)/h.

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Derivative Calculus Double Derivative

10/28/21

Let h ( t ) = tan ( 3 t + 5 ) . Find h' ' (3)

any help would be amazing

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Derivative Calculus Exponents Calculus 1

10/27/21

Exponential Function word problem

Elizabeth’s first business started in 2015, sells homemade brownie mixes. The profit during her 15th month of business was 50% higher than in her 3rd month of business. She predicts that her... more

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Derivative Calculus Differential Equations

10/26/21

If f ( x ) = 20 , find f ' ( 5 ) .

any help would be amazing thanks

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Derivative Calculus Algebra

10/22/21

For f(x)=√(5x+10), find f′(x) using the definition f′(x)= lim, h→0, {f(x+h)−f(x)} / h . Then, using this, find the tangent line to the graph of y= √(5x+10) at x=3

For f(x)=√(5x+10), find f′(x) using the definition f′(x)= lim, h→0, {f(x+h)−f(x)} / h . Then, using this, find the tangent line to the graph of y= √(5x+10) at x=3. Enter all values as integers, or... more

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Derivative Calculus Precalculus

10/20/21

Find the points on the graph of y = tan x, 0≤x≤2𝜋, where the tangent line is parallel to the line 4x – y = 7.

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Derivative Calculus

10/20/21

A body is moving in simple harmonic motion with position function

s(t) = sin t + cos t, with s in meters and t in seconds. Find the jerk at time t.

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Derivative Calculus Product Rule

10/20/21

HELP WITH PRODUCT RULE: Suppose that u and v are differentiable at x = 2

Suppose that u and v are differentiable at x = 2 and that u(2)=4, v(2)=-9, u'(2)=5, and v'(2)=3a. Find d/dx(6uv) at x=2b. Find d/dx(u/v) at x=2

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Derivative Math Calculus Tangents

10/20/21

Identify where any horizontal tangents exist for the function:

𝑓(𝑥)=𝑥3+7𝑥2−8

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Derivative Calculus Precalculus Algebra

10/19/21

(x)=√(5x+10), find f′(x) using the definition f′(x)= lim, h→0, {f(x+h)−f(x)} / h . Then, using this, find the tangent line to the graph of y= √(5x+10) at x=3. Enter

For f(x)=√(5x+10), find f′(x) using the definition f′(x)= lim, h→0, {f(x+h)−f(x)} / h . Then, using this, find the tangent line to the graph of y= √(5x+10) at x=3. Enter all values as integers, or... more

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Answers •1

The linear approximation at x = 0 to sin ( 6 x ) is A + B x where A is: and where B is

Compute the differential dy for y=−9x^6−9x4

If x2+y2=64 and dx/dt=5, find dy/dt when y is positive and

Indefinite integration

How to evaluate this limit?

If water flows into the tank at a rate of 20 ft3/min, how fast is the depth of the water increasing when the water is 18 feet deep?

At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 50 ft away from the pole?

Find f′(x^2) if d/dx [f(x^2)] = x^8

need help with implicit differentiation

A closed rectangular box with faces parallel to the coordinate planes... what is the max volume?

What is the shortest distance from the surface to origin

Find A and B that f(x, y) has a local min at point

If the speed limit is 60 mph, can the police cite you for speeding.

Find the minimum and maximum value of the function f(x)=2sqrtx−3√^3 x on the interval [0,4]

find directional derivative given angle

How do I find f(x) and a, of this derivative limit

Let h ( t ) = tan ( 3 t + 5 ) . Find h' ' (3)

Exponential Function word problem

If f ( x ) = 20 , find f ' ( 5 ) .

For f(x)=√(5x+10), find f′(x) using the definition f′(x)= lim, h→0, {f(x+h)−f(x)} / h . Then, using this, find the tangent line to the graph of y= √(5x+10) at x=3

Find the points on the graph of y = tan x, 0≤x≤2𝜋, where the tangent line is parallel to the line 4x – y = 7.

A body is moving in simple harmonic motion with position function

HELP WITH PRODUCT RULE: Suppose that u and v are differentiable at x = 2

Identify where any horizontal tangents exist for the function:

(x)=√(5x+10), find f′(x) using the definition f′(x)= lim, h→0, {f(x+h)−f(x)} / h . Then, using this, find the tangent line to the graph of y= √(5x+10) at x=3. Enter

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