Make a sign diagram for the first and the secon derivatives and then graph the function f(x)=x^3-12x^2-60x+400. Show on your graph all relative extreme points and inflection points.

Q: What is the derivative of the function  x - 7x(x^1/2) ——————      x^1/2 Use quotient rule and…

A: The quotient rule of differentiation is as shown on the whiteboard.

Q: Find the derivatives of the functions in Exercis

A: Differentiation of the rational function can be done with the help of the differentiation formula…

Q: Find the derivative of the function by quotient rule. f(x) = 3x+7 5х-2

A: Use the quotient rule to differentiate the given function as in next step.

Q: Use the limit definition of derivative to find the derivative of f(x) x2-5x.

A: to find the derivative of following function by using limit definitionf(x)=x2-5x

Q: Find the derivative of f(x)=-4x2-4cosx

A:

Q: = x3-122 +2

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the derivative of the function. f(x) = 2- 5x-, - 6 f'(x) =

A:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of…

A: Differentiate the function with respect to x using the chain rule to find f'(x). According to the…

Q: How to use a graph of a derivative to determine the parent function.

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Q: Find the derivative of the function by quotient rule. f(x) = 3x+7 У 5а-2

A:

Q: Find the derivatives of the functions in Exercis y = (4x + 3)4(x + 1)-3

A: y=(4x+3)4(x+1)-3

Q: Use the Quotient Rule to calculate the derivative. f(x) = x/ (x -2)

A: Given function is fx=xx-2. To calculate the derivative of the given function using quotient rule.…

Q: Find the derivative of this : y= csc (4x² ) Arccsc (4x² )

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Q: find the derivative of arctan 4x/5

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Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

Q: Compute the derivative. f(x) = (2x 4 - 4x- 1) secx

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Q: Calculate the derivative of the function below using the quotient rule. 210 y = √x + 5x8

A:

Q: Give the complete solution Find the derivative of f(x) = 5x6 - sec-1(x2)

A: Complete solution is given.

Q: Find the derivative of sech(2x1/9)

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Q: he figure shows the graph of the derivative f' of a function f. yA y= f'(x) -2/

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

Q: Find the derivative of the function. f(x) = arcsec(4x) f'(x) = 1 x√ 16x² - 1

A:

Q: Find the derivatives of the functions in Exercis y = (2x - 5)-1(x2 - 5x)6

A: Given function - y = 2x-5-1x2-5x6y = x2-5x62x-5               ........(1)  Identity to be used -…

Q: Find the derivative of the function by definition. 2- P0-x

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Q: Calculate the derivative indicated.    f ''' (-3),    f(x) = 4ex - x 3

A: Given: fx=4ex-x3 To Find: f'''-3=?

Q: a) f'(-3) where f(x) = 5-3x

A: Derivative using definition

Q: What is the second derivative of the function:  f(x) = (9x^2)/ (x^2-49) Please show ALL steps

A: Given function is

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

A: The function f that has the given derivative f'x=sec22x and passing through point π2,2. Now,…

Q: Use the second derivative test to find the extreme values of the function f(x) = 13 -3z2-24x

A: Given: f(x)=x3-3x2-24x To find the extreme value of the function.

Q: Graph f(x) x'- 3x-9x + 2. 3r2

A:

Q: Find the function of the derivative f'(x)= -12x+5 and with the graph passing through (-2,5)

A: Given, f'(x)= -12x+5

Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

A:

Q: Find derivatives of the functions defined as follows: y = -103x2-4

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Q: 6 (x+2)(x-5)(x²+7) V(x3-8)(x+3)(x+4) %3D

A: Using Logarithmic Differentiation.

Q: derivative of f(x)=2x^15-3^x, f^15(

A: We will find the required.

Q: What rule do you use to calculate the derivative of f(x) = exx2 and f(x)=(x2-3x+1)/(x+5) ?

A: Use the product rule and quotient rule of derivative:

Q: Find the derivative of -4 f(x) = 6x° /x +

A: Given function :

Q: Sketch the graph of y= x²+ - by using the properties of the derivative. 2

A: To sketch the graph

Q: Find the derivative of the function y = arccsc 2x2

A:

Q: Find the Do not include "f'(x) =" in your answer. derivative of f(x) = (-x³ - 2x² - 2x) sin (x).

A: Given f(x)=(-x3-2x2-2x)sin(x)

Q: Use definition to find the derivative of the function f(x)= 2x-3x2 at x = 3 %3D

A:

Q: 5. Sketch the graph of y = x3 + 5x2 + 3x - 4 by using the properties of the derivative.

A: Find f' (x) then we check f(x) increasing Or decreasing.

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

A:

Q: Please explain how to find the fifteenth derivative of f(x)=2x^15-3^x, f^15(x

A: Topic - Derivative of a function

Q: Find the function with the given derivative whose graph passes through point P. F'(x)=2x-3, P(5,5)

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Q: Find the derivative using the definition of a derivativeg(x) = √9-x

A: Given:The function is,

Q: Find the indicated derivative. f'(-5) = If f(x) = x², find f'(-5). X

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Q: What is the derivative for: X^3/(1-x^4)

A: What is the derivative for  x^3/(1-x^4)

Q: Find the derivative of f(x)=-9sqrtx+1/x^10. Type your answer without fractional or negative…

A:

Q: Calculate the derivative of the function f (x) =-5x + 2 and plot the function and its derivative on…

A: