Differentiate the function. h(x) = 11 csch- (x³ ) Give your answer in exact form. W (x) =

Q: Find the derivative of the function.

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Q: Find the points of inflection given the function: Given the function f(x) = 2x³+ 3x²-12x-9 Where…

A: For the inflection point, second derivative is equal to zero.

Q: Find the derivative of the function.(x2 + 9)(x3 + 6)/ x2 + 3

A: Consider the function

Q: Use 1st and 2nd derivatives, sketch the graph of given function 2x x² - 1 f(x) =

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Q: find the derivative  f(x)=x+3+4/x

A: The derivative of the function as follows.

Q: Use the Product Rule to find the derivative of the function.

A: Given :           The function h(x) = xx3 + 1 To find the derivative of h(x) using product rule.

Q: Find the 2nd derivative x2+3/5

A: To find the 2nd derivative of x2+35. Solution: Let the given function be y=x2+35. Given function can…

Q: Use the first derivative test and the second derivative test to determine where each function is…

A: The given function y=3x+4 Differentiate with respect to x f'(x)=323x+4 f'(x) is not defined at…

Q: Find the derivative of the function. f(x) = x2(x − 2)7

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

A: The given function is ;  y=x2+9x-2  ...........................(1) differentiate with respect to x

Q: Using the criterion of the first and second derivatives, find the graph of the function a) F(x) = x³…

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Q: Q2/ Find the derivative of the function (x) =v3x-x by definition

A: Solve the limit for very small change in x .

Q: Calculate the derivative. ƒ(x) = (6e* − 7x²) (x³ + 1) (Use symbolic notation and fractions where…

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Q: 8. Find f'(x) where f(x) = 4x² - 3x + 11.

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Q: Evaluate the derivative. 6) f(x) = csch¬1(6/x)

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Q: Using the First Derivative Test, what are the local extrema for the function s(x)=−23x3+10x2−48x−1?

A: Given Sx=-23x2+10x2-48x-1

Q: Find the derivative of the function. Provide the solution in factored form. f(x) = 2x(x³ – 2)6 %3D

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Q: 2x² 9 x2

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Q: Find the second derivative of the function. f(x) = 9(5-2x)4 f"(x) = Submit Answer

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Q: Find the derivative. g(x) = (4x – 2)° – Vr + 8

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Q: a) Using definition, compute the derivative function of f (x) = 4x7

A: Here, we will find derivative of given function by definition of derivative,

Q: a) Find the derivative of g(x) = 3tanx - 4cotx. b) What is the value of g'() ?

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

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Q: I need help with finding the derivative.  y=(2x^2   +   1)^2   (x-1)^3

A: Given: y=2x2+12x-13 We know that ddxu.v=vdudx+udvdx…

Q: Find the second derivative of the function. f(x) = 5(2 − 7x)4   Show your work

A: y''=?

Q: Q#2. By definition find derivative of (2x+3)/4.

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Q: Calculate the derivative of the function y=(2−x3)(13+x2).

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Q: Differentiate the function   f(x) = x ln x -x

A: Given: fx=xlnx-x

Q: Use the First Derivative Test to find the local maximum and minimum values of the function. y = 2x2…

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Q: Use the second derivative test to find the extreme values of the function 49 f(x) = 25x +

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Q: 3. What is the FIRST derivative of the given function? y = 3x³ - 2x² + x - √√2

A: Given,            y=3x3-2x2+x-2To find : What is the first derivative of the given function.

Q: f(x) = V4x +5 , use the definition of the derivative to find f '(x).

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Q: b) Use second derivative test to find absolute maximum and minimum values of f (x, у) 3 Зху — 6х —…

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Q: Find the derivative of the function. (x) = (2x – 6)ª(x² + x + 1)5 %3D f'(x) = Need Help? Watch It

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Q: 5x – 2 Find the second derivative of f(x) =x3/2 -1/4,

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Q: Find any relative extrema of the function f (x) = x³ - 3x². Then, sketch a graph of the function.…

A: Let f(x)= x3-3x2. We need to find the extrema of the function by using first derivative test and…

Q: Using the definition of the derivative, differentiate the function f(x)=x2+2x−2.

A: To find the derivative of the function f(x)=x2+2x-2 By the limit definition of the derivative,  The…

Q: Use the Product Rule to find the derivative of the function.                          g(x) = (2x −…

A: Given:gx=2x-31-5x

Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

Q: Joha Find the derivative of the 1 1- f(x)= 2x+3

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Q: . Use derivative rules to find the derivative of h(x) = 3f(x) – 2g(x) – x² f (x) +. Show steps g(x)

A: See attached file for a step by step explanation.

Q: х3 — f(x) = 2x2 + 2 x²

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Q: Using the First Derivative Test, what are the local extrema for the function h(x) = 3x3 – 9x2 – 72x…

A: It is given that,              h(x)=3x3-9x2-72x+9we have to find the local extrema of the function.

Q: Find the derivative of the function f(x) = 9x-³ + x² + 14. f'(x) = %3D

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Q: II. Use the differentiation rules to solve for the derivative of each function. Show your complete…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Rewrite the function g(x) = ((x^2)-1)/((x^2)+2) so that you can solve for the derivative using the…

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Q: Differentiate the function ln(x2+y2)+2arctan y/x=0 implicitly.

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Q: Evaluate the second derivative of the function at the given point f(x)=9/√x+9    (0,3)

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Q: Use the second derivative test to find the extreme values of the function f(x) = 49x + 1. Answer:

A: Second Derivative Test for Local Extrema The second derivative may be used to determine local…