440 Answered Questions for the topic Derivative

Derivative Math Calculus

10/08/19

Plz Help w Derivatives
According to , the rate of change of an object's temperature is proportional to the difference between the temperature of the the object and that of the surrounding medium. The accompanying... more
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Derivative Math Calculus

10/08/19

Plz Help with Derivatives
Let f(8)=4 and f'(8)= -1Then the equation to the tangent line of the graph y=f(x) at x=8 is y= _________
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10/01/19

Find an equation of the tangent line at the given point.
xy+x^2y^2=6(2,1)
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10/01/19

Calculus problem
Use the limit definition of the derivative to differentiate g(x)=8x-x^2
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10/01/19

Calculus problem
Use the limit definition of the derivative to find the standard form equation of the tangent line to f(x) = 2x^2-5x-9 at x=3
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Derivative Math Calculus Slope

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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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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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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09/19/19

Compute f'(a) in two ways
f(x)=x3+2x a=1
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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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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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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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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

06/30/19

Calculus 1: Derivative
Use given data to find the value of the indicated derivative.u(1) = 5, u '(1) = -6, v(1) = 6, v '(1) = -2. (3v - u) at x = 1
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Derivative Calculus

06/16/19

Find the slope of the tangent to the curve y^2=x^3/(xy+6) at (6,3)
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Derivative Calculus

06/14/19

calculus help asap!!
given that f(3)=2, f'(3)=9, h(x)=1/f(x), find h'(3)
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