Answer the following True or False: Since the chain and product rules give: d f(r) da g(x) d. f(x)(g(x)) 1. = f'(x)(9(x)) 1 f(z)(g(2)) g (x) the quotient rule can always be avoided if you remember how to apply the product and chain rules. O True O False

Q: f (x) = (4x + 5)* (x²? – 2x + 5)* Find the Derivative

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Q: Suppose that f(2) = 2. f'(2) = 8, g(2) = 2, and g'(2) = -2. If F(x) = (f • g)(x) and G(x) = (g •…

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Q: (A) A = -2, B = -8 (D) A = 8, B = 2 f(x) = Let f: RR be the function defined by Ax³ + Bx+2 Br² - A…

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Q: Find the derivative of the function y = (4x + 1)4(5x + 1)-5. dy (16x+4) 3 (4x+1)4 dx (5x+1)5…

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Q: Given f(x) = x² – 4x find and simplify f(x

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Q: Complete the first line ONLY of the derivative using the product & chain rule for the function: р =…

A: px=4-3xx4+7x3

Q: Find the DERIVATIVE of the following functions using Rules for Differentiating Algebraic Forms. Show…

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Q: Use the product rule to find the derivative of y=(5x² − 4)"^(2x* + 7)³³ NOT Simplify after…

A: Since there are multiple questions asked, by the bartleby's guidelines only one question will be…

Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: f(x) = x². Simplify f(x) = f(a) x-a , xa.

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Q: Q3/ find the derivative D f(x) = x log5 @f(x) = (x+3) ² 2x+4 2 X

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Q: find the derivative of each function

A: To Find: The derivative of  18. fx=2x2-3x3919. fx=x3-5x2-320. fx=13x2-6x+2

Q: 1. Find the first line ONLY of the derivative showing the product rule. a) y = (- 2x¹ + 2x³ - 8)…

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Q: 4 1 Y(s) = 5s2

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Q: Write a function in any form that would match the graph shown below

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Q: Use the Chain Rule & Power Rule to complete the first line ONLY of the derivative for g(x) = (5x³ —…

A: The function is given by gx = 5x3-x44 To determine: The expression of the first derivative.

Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) =…

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Q: Differentiate the function G(s) = Answer 38² 7es + s G'(s) =

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Q: 1. Differentiate the following f(x) = (2x) (e4x)

A: f(x)= 2xe4x Find f'(x)

Q: f(x)=(1)/(x), shifted up 2 units, 5 units up and vertically stretched 7 units

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Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

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Q: what is the equation f(x)= a (x-h) + k with the appropriate shifts entered

A: Find the attachment

Q: Use the Product Rule to find the derivative of the function. g(x) = (x² – 6x + 7)(x³ – 1) g'(x) =

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Q: the product rule is not needed to find the derivative of y = 3(x² – 2). the quotient rule is[not…

A: Product rule: If we are given a function of the form: f(x)·g(x), we can find the derivative of this…

Q: 17. Determine the derivative of each function. a) y=2(3x-x-1² b) g(x)= /2x + 5

A: We have to find derivative As per guideline we have to solve only three