The function f is given by f(x) = (2a³ + bx)g (a), where b is a constant and g is a differentiable function satisfying g (2) = 4 and g' (2) = -1. For what value of bis f' (2) = 0 ? A (B C D -8 -24 -40

Q: SOLVE THE IMPLIED FUNCTION BY OBTAINING THE DERIVATIVE = 2x4y3 -xy² + 1; z = dz dy

A: Explanation:

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A: The objective is to solve the above question.

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A: given that f"x=24x2+2x+8, f(1)=2 and f'1=-2 find f(x)

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A:

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Q: # 41) Use the definition of derivative to find f(r) and "(r) for (r)= 1+ 4r- r

A:

Q: Q-1Find the derivatives of the functions 1- Y+In (xy) =1 2. Inxf 9.

A: Note:- Derivative of the product of two functions is ddx fx·gx  =f'x·gx+fx·g'x   Part (1):-  Given…

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A:

Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: The function f is defined by ƒ (x) = -2x³ – x – 5 and f(-1) = -2. If g(x) = f¯1(x), what is the…

A: Given fx=-2x3-x-5f-1=-2Therefore, f-1-2=-1Differentiate with xf'(x)=-6x2-1f'-1=-7

Q: 1. Find the derivative function for the following using the power rule: a) f(x) = x¹² b) y = 8x³ -…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

Q: If the function f(x) is defined as f(x) = = (4-2√√x)² √x -,x>0 Then, what is the value of ƒ'(16) = ?

A:

Q: Find the derivative of the following functions a) f(x) = 1 + x² + = 160 1x x6 I b) F(X) x4-3x+1 √x…

A:

Q: a) y = −8x² + 4x¯¹ − 2 b) f(x)=√√x - √x 5 c) g(x) = x³

A:

Q: 2 For the function f(x)=√x² +4, find f''(x). Then find f''(0) and f''(9).

A: Given query is to find indicated derivative.

Q: Find the derivative. I+5 = (x) 6 12 + 2 Select one: 2 (z + 5) (-x² – 10z + 2) g' (z) 2,

A: Here we have g(x)=x+5x2+22

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A:

Q: 1. Find the derivative of the following: a) 3x²+6x f(x)= 5x-1

A: according to bartleby guide line we do only first part of multiple questions…

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A:

Q: f(x) = (4x² + 3x)² h(x) = 7 (4x³ - 6x²)³ b) d) g(x)=√10x² - 5x y = 1 3/(x ³√(x + + 5)²

A: We have to find out derivative for different functions.

Q: Direction: Find the derivative of the function. g(z) = (3 – 2") (zª - z + 1) Select one: g'(x) =…

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A: The objective of this problem is to find the derivative of the function f(x, y) = -7x²+4y at the…

Q: 5. If f(x) = x², g(x) = and h(x) = √x² + 2x, determine the derivative of each composite function. a.…

A: Given: f(x)=x2,g(x)=1x′ and h(x)=x2+2x First find the composite functions and then differentiate