Consider the function h(x) = 2 - 4x2 + 10. Use the second derivative test to find the r-coordinates of all local maxima. If there are multiple values, give them separated by commas. If there are no local maxima, enter Ø. %3D

Q: Use the first derivative test to find the location of all local extrema for .3 f(x) = +4x*+7х— 5 3

A: For extreme values we find critical points by putting f'(x)=0

Q: Q3\ Find the derivative of the following function by using the definition f(x) = x-1

A: Given function is fx=xx-1

Q: If f (x) = 12 + 2x² – x*, use the second derivative test to find the local extrema of f.

A: Just use second derivative test and answer will follow.

Q: x3+ 4x2-9x-36 3. у %3 4x2+28x+48

A: Solution:

Q: Use the First Derivative Test to find any relative extrema of the function. (a) g(x) = 2x³ – 18x

A:

Q: Given function: y = x* – 4x3 +2

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: To Determine: Find the equation for the function f that has given derivative and whose graph is…

Q: Use the first derivative test to determine the local extrema, if any, for the function f(x) = 3(x -…

A: Given that a function f(x) and we find local extrema. For local extrema we do first derivative of…

Q: Use the first derivative test to determine the relative extreme values of the function. below. a.…

A: We have to determine the relative extreme values of the function using the first derivative test.

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 general antiderivative of each function. (can check by taking the derivative) F(X)= 12x3…

A: Antiderivative: Given the derivative of a function, find the function itself. Find the…

Q: Given the following function,f (x)= -x^2-10x-25 , use the second derivative test to decide whether…

A: Now the equation(function) given in the question f(x)=-x2-10x-25

Q: Given f(x) = vx +8, find f' (-4) using the definition of a derivative. Provide your answer below:…

A:

Q: Find the x-coordinates of all local maxima using the second derivative test. p(x)=x7+4x6+10

A: Again differentiating with respect to x, we get

Q: Use the General Power Rule to find the derivative of the function. g(x) = v6- 7x

A:

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

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

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A:

Q: Given f(x) = -7x - 2, find f' (5) using the definition of a derivative. Provide your answer below:…

A:

Q: Find the derivative of the function f(x) (3x+6)? 6x2+13

A:

Q: Q3\ Find the derivative of the following function by using the definition f(x) = X-1

A:

Q: Jx + 2x f(x)=- 7х — 4х? 8.

A:

Q: Use the first and second derivatives to obtain sketches of the function below. 3 1. f(x) = 3x° –- 9x…

A: Given: Function f(x)=3x2-9x+1

Q: Find the absolute maximum and minimum, if either exists, for f(x) = x - 8x + 9. Find the first…

A:

Q: Given f(x) = -x² – 4x – 6, find f' (4) using the definition of a derivative. Provide your answer…

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A:

Q: Q1: Using the definition, calculate the derivative of the following function. f(x)=4-x

A:

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Consider the provided function, fx=4x+13x-6 Find the second derivative of the function and then find…

Q: Use the Quotient Rule to find the derivative of the function. 3x - 7 g(x) = %3D x² - 1

A:

Q: Use the definition of the derivative to find the derivative of each function with respect to x. 1)…

A: Given: The functions in x is given.         1) fx=-4x-22) y=4x2+13) fx=-3x2+4 Objective is to find…

Q: Given f(x) = Vx+ 8, find f' (-4) using the definition of a derivative. %3D Provide your answer…

A:

Q: function with respect to x. a. f(x) = -4x – 2 b. f(x) = 3x² + 4 c. y = 3x² + 3x + 3

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the function with the given derivative whose graph passes through point P f'(x)=1/4x3/4,…

A: To find the function with the given derivative that passes through the point (1,-2).The derivative…

Q: Consider the function f(x) = (4 - 5x)7. Find the second derivative f"

A:

Q: Find the relative extrema of the function and classify each as a maximum or minimum using the First…

A: Answer

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

A:

Q: Find the derivative of f(x) = -4x 3+4 Provide your answer below: f'(x) = D

A:

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

A: Given that,y=x3-5x2+8x+4   , x∈ℝ y'=dydx=ddxx3-5x2+8x+4    =3x2-10x+8    =3x2-6x-4x+8    =3xx-2-4x-2…

Q: Find the derivative f'(x)=? of the function f(x) = 2x5 +√√x -+ 2x - 3

A: SOLUTION-

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

A: The given functions y=2x-313 Differentiate with respect to x f'x=132x-313-1…

Q: t(x)=23x3−10x2+42x+9 Given the function above, use the First Derivative Test to find the local…

A:

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: Use the sign pattern for the derivative dƒ/ dx = 6(x - 1)(x - 2)^2(x - 3)^3(x - 4)^4 to identify the…

A:

Q: Use the derivative f'(x) = (x - 3)(x + 4)(x + 4) to determine the maxima and minima of f and the…

A: f will be increasing if f'(x)>0. From the graph of f'(x) we see f'(x)>0 when x>3 [because…

Q: Find all possible functions with the given derivative. 7) y' = 5x2 + 1 %3D

A: solution = y' = 5x2 + 1  y' = dy/dx dy/dx = 5x2 + 1 ∫dy = ∫(5x2 + 1 ) dx + c  [ yn dy = yn+1 ] y…

Q: Find the derivative of the function  g(x)= (3x-2)2 (4x+5)3 Show all work and circle answer.

A:

Q: Find the relative extrema of the function, if they exist. Use the First Derivative Test to state if…

A:

Q: a) Use the definition of the derivative to find f '(x), given f(x) = 4x² – 1.

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

Q: Given f(x) = v9x – 7, find f' (8) using the definition of a derivative. (Do not include "f' (8) ="…

A: Given f(x)=9x-7

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…