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432 Answered Questions for the topic Derivative

09/26/19

Use implicit differentiation to find the slope of the tangent line to the curve defined by xy^3+2xy=60 at the point (5,2)

I would appreciate if all work is shown with detailed steps! Provide the answer to the slope of the tangent line to the curve at the given point is _____.

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Derivative Math Calculus Slope

09/26/19

Find the slope of the tangent line to the curve defined by 9x^3+4xy−6y^2=1752 at the point (6,−4).

This is a derivative but I don't know how to do this question! I would appreciate if all work is shown with detailed steps! Provide the answer to the slope of the curve at the point (6,-4) is_____.

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Derivative Slope Calc Tangent

09/26/19

Find the slope of the tangent line to the curve defined by x^6+6xy+4y^2=176 at the point (2,4).

This is a derivative but I don't know how to do this question! I would appreciate if all work is shown with detailed steps! Provide the answer to the slope of the curve at the point (2,4) is_____.

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Derivative Calculus F Of G

09/26/19

Find the derivative of f(g(x)) and g(f(u))

f(u)=cosug(x)=x^2+1

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Derivative Calculus Chain Rule Product Rule

09/26/19

Compute f'(x) in three different ways

f(x)=(2x^2-5)^21.) multiplying out and then differentiating2.) Using the product rule3.) Using the chain ruleShow that the results coincide

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Derivative Calculus Product Rule

09/24/19

Use product rule to calculate derivative

h(s)=(s^-1/2+2s)(7s-s^-1)

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Derivative Calculus Quotient Rule Product Rule

09/23/19

Calculate the Derivative in Two Ways

First use the Product or Quotient Rule. Then rewrite the function algebraically and directly calculate the derivative.h(t)= (t^2-1)/(t-1)

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Derivative Calculus Limits Limits Of A Function

09/19/19

Compute f'(a) in two ways

f(x)=x3+2x a=1

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Derivative Calculus Difference Quotient

09/18/19

Compute f'(a) in Two Ways

f(x)=x2+9x, a=0

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Derivative Math Calculus Calc

09/14/19

Simplifying for derivative

consider the function f(x) = 4sqrt(x)-1a) Simplify as much as possible in f(4+h)-f(4)/hb) Use the result to find the derivative of f'(4)

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Derivative Math Calculus Calc

09/14/19

Alternative method for Derivatives

Let f(x) = 5/(x+3)A) . Reduce with the definition f(x)-f(1)/x-1 so that there is only one x.B) . Use that answer from a to find derivative f'(1)

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Derivative Calculus Integral Calculus

08/03/19

Given f'(x) = e^kx find k by finding the gradient of a tangent that intersects f(x) at (1,e^2) and also passes through the origin

A curve for which f'(x)= e^kx where k is a constant, is such that the tangent at (1,e^2) passes through the origin find the gradient of the tangent to determine k and then integrate to find... more

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Derivative Math Calculus Relative Etrema

08/02/19

Find the relative extrema and the points of inflection (if any exist) of the function. Use a graphing utility to graph the function and confirm your results.

f(x)=(5ex-5e-x)/2

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Derivative Calculus

07/15/19

Derive equation y=kx that cuts through a given circle. Which value is k?

Derive the equation y = kx for a straight line which cuts a 90 degrees arc of the circlex2 + y2 - 6x - 2y + 5 = 0The line goes through the origin.What is the value of k? The answer should have at... more

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Derivative Math Calculus Concavity

07/14/19

Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) f(x)=(x^2 +8)/(x^2 -1)

I've gotten to the 2nd derivative, but I'm confused about where to go from there. Any help would be rad! Cheers!

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Derivative Math Calculus Precalculus

07/06/19

What is the derivative of the function?

Use the General Power Rule to find the derivative of the function.f(x) = (10x3 − 6x)4/3

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Derivative Math Calculus

06/30/19

Determine the point at which the graph of the function below has a horizontal tangent line. (If the function has no horizontal tangent line, enter NONE.) y = x3 + 9x

I understand the basic idea that it needs to be equal to zero and of course is horizontal, but this specific problem is a bit transfixing. It only gives the option to enter one coordinate or to... more

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Derivative Calculus

06/16/19