Suppose that f(5) = 1, f '(5) = 6, g(5) = -8, and g'(5) = 5. Find the following values. (a) (fg)'(5) (b) (flg)'(5) (g/f)'(5) (c) Need Help? Read It Watch It Talk to a Tutor

Q: Get the derivative of all the functions. 1. ?(?) = 9?^5 + 2?^4 + 3?^3 + 7?^2 + 1 2. ?(?) = 5?^2−2…

A: To  find the derivative with respect to x

Q: 8. Find the derivative of f (x) = 2tanx – 3secx. Show all steps -

A: We have to find the derivative of the function fx=2tanx-3secx Then,…

Q: 2. f(x) = 3. g(x) = 5 In x – 2* 4. g(x) = 4x³ log, x

A: To find the derivative of the given function. 2). Given function is fx=x2ex. Quotient rule of…

Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

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Q: Find the second derivative. 9. f(x) = V4x-5 f"(x) = f'"(x)=|

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Q: 2. If the derivative of an accurately determined function is replaced with a finite difference, how…

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

Q: 5. Find the derivative by using the quotient rule. 3x - 2 (a) 2x +3 V+2 (c)- 3+2x (b) x +1 x+2 (d):

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Q: 5 Find the derivative of f (x) = (9x4 -

A: Consider the given: fx=9x4−7x5Find the derivative:f'x=ddx9x4−7x5

Q: Define the second derivative of f. If f(t) is the position  function of a particle, how can you…

A: Second derivative is derivative of the derivative.      Therefore,…

Q: Which functions have a negative first derivative for all x?

A: Which functions have a negative first derivative for all x?

Q: 2 The derivative of (g(x))¯ is equal to (g '(x))¯. Select one: True False

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Q: 4 1 Y(s) = 5s2

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Q: What is the first derivative of p(x)=3^(x^5)?

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Q: What is the second derivative of f(x) 2x-3 2 x+1 10 (x+1)* 10 3 (x+1)° -10x+10 (x+1)* 10x-10 (x+1)*

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Q: Compute the derivative of the function f(x) = 5x² + 3x at the point x = 4. %3D (Give your answer as…

A: We have to find the derivative at that point

Q: 7.) f (x)> (3x+2)(5x-2)

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Q: How do you find the derivative of the sum of two functionsƒ + g?

A: we have to determine how to determine the derivative of the sum of two functions that is f+g.

Q: Determine the derivative of the given function by using two different methods 2- 3) y = ² + 3

A: Given: y=x2-3x2+34

Q: Compute the derivative of f(x)= (ex2 +e-x2 )/(ex2 -e-x2 )

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Q: The second derivative of a function is equal to 1. If the graph of the function passes through (0,2)…

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Q: What is the derivative of the function r (x) 5 (9x²-2) (5x+7) (3x³-2x+2) 9x²-2 5 5x+7 3x³-2x+2 5…

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Q: Example 4:- By using the four steps rule, find the derivative of the function f(x) = Vx + 2

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Q: Find the second derivative of the function  f(x)=[3x3 +7]7

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Q: 3. Find the derivative of f(x) = x2020 – 2019.x" – 7x3 – 9x + en".

A: To Determine: Find the derivative of f(x)

Q: 3. Suppose a car travels at a constant rate of 70 kph for 2 hours and travels 55 kph thereafter.…

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

Q: Find the first and second derivative if w = 3z-2-(1/z)

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Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: 5. What is the definition of the derivative of a function f(x) ?

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Q: Compute for the derivative of the function f(x)= Arctan (csc2 (3x2/3))

A: Some derivative formulas: ddxtan-1x=11+x2 ddxcscx=-cotx cscx Chain rule of derivative:…

Q: What is the value of the second derivative y" at the point (4,3)

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Q: Find the first derivative of f (x) = 2* 2*

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Q: What is the second derivative of f(x)=−x4? at the point x=−3 Do not include "f′′(x)=" in your…

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Q: Q1. Find the derivative of f(x) = 2x² -- by using the definition of derivative.

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Q: 2. Find the derivative of f(x)= 2х — 3. Зх + 4

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

Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: 1) Find the second derivative of f (x) = 24 . %3D

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Q: 5. By the General Power Rule, find the derivative of y with respect to x for the function y = (4x5 +…

A: Given that, y=4x5+x4-x33

Q: 5. f(x) = [(x + 5)5 – 1]4

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Q: 10 The derivative of f(x)= - is

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Q: Find the derivative. ex - (א)h 7+א7 eX-1(7x2 - 14x + 7) (7x2 + 7,2 2-14+7א7 ex. (7x2 + 7,2 eX(7x2 -…

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Q: How do I find the following derivative?

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Q: (1) For what value c on the interval [-10, 10] can the second derivative test be used?

A: Second derivative test is used to check if a critical point is a local minimum or maximum.  So we…

Q: 4. Find the maxima/minima of f(x) = x³ – x using both 1st and 2nd derivative test.

A: Consider the function: fx=13x3-x. Find maxima, minima.   Find f'x by applying axn'=anxn-1.…

Q: 2) Find the derivative of the function f(x) = 3x² by definition

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Q: 7. If h(x)=|2x- 3, what is the value of the derivative at x = -2?

A: According to the problem we have

Q: 27. Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Derivative of the function f(x) is given by

Q: What is the average rate of change of f(x)= x2 -2 on the interval [-1,3]?

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Q: What is the derivative of the attached function for x= -8   -1 -1/2 1 2

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