The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if possible. U I 1. 11 11 M 1 h 1 I I |_y = f(x) 1 1

Q: Find f given that f" (x) = 4+ 6x + 24x?, f(0) = 3, f(1) = 10

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Q: f(x) = 3x + 21, -3<x<0

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Q: Find the relative extrema of f(x) = (x4 + 1)/x2 .

A: Given: f(x) = (x4 + 1)/x2  To Find: Relative extrema of f(x).   Concept: First-Derivative Test:

Q: Find all relative extrema of f (æ) = 3x²/3 – 2æ %3D

A: Topic: differentiation

Q: f(x) = Ve

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Q: f(x)=1/x+7 f-1(x)=

A: Given function is

Q: Find the x-values for all points where f(x) = x4 - 50x? - 5 has a relative extrema.

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Q: Find relative extrema functions of  f(x)= x4-32x+1

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Q: Find f. "(x) = + 6x + f(0) =, f(1) f(x) 2x4 +x + 4x +3

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Q: For what values of x is Ax) concave down if f "(x) = 3x' – 14x² + &r?

A: Given that, f''x=3x3-14x2+8x For what value of x is fx concave down.

Q: L. Let h (x) = f (x) g (x). Find a. h' (1), b. h' (3), and с. h' (4).

A: According to the given information,

Q: For what value(s) of x is f(x) = 3?

A: given :  f ( x ) = 3  find value(s) of x = ?

Q: Is f (x) = ( ½) x increasing or decreasing?

A: Given: fx=12xIncreasing Function:    If  f'x&gt;0  for every x on some interval I, then fx is…

Q: If f(x) = x²/(4 + x), find f "(4). f "(4) = %3D %3D

A: The given function is f(x)=x24+x

Q: 1 f (x) =

A:

Q: Given f(x) = 7 + 3  /  8  , then f-1 (x)  will be?

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Q: Given f(x)=x+(1/x).   Find f(a).

A: Given, The function is f(x)=x+(1/x).

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: Find the general form of f if f'(x)= 9f(x). f(x) = ]

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Q: f (x) = 3.x5 5x3.

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Q: x= ?

A: We determine where the function f(x) = (x2 - 7)/(x + 2) is not differentiable by considering two key…

Q: 2. Let f(x) = -5x3/4 and g(x) = 7x3/4 Find (f+g)(x): evaluate at x = 81 %3D

A: Evaluation of the function at value x=81.

Q: If f(x) f"(2) = x2 4 + X find ƒ”(2). x

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Q: . Let h (x) = f (x) + g (x). Find a. h' (1), b. h' (3) , and c. h' (4).

A: Given Data: Function: h(x)=f(x)+g(x) The derivative of function h(x) with respect to x is,…