Show that X. dt f(x) J3 V1 + t4 is one-to-one. f'(x) = Since f'(x) O for all x, f is increasing v on (-0, o). Thus f is one-to-one. Find (f-1)'(0). (f-1)'(0) =

Q: Suppose that f(x) Evaluate each of the following: f'(3) = %3D f'(-1) =

A: Given function is : fx=3x9 The given function can be written as : fx=3x-9

Q: Consider the function Compute f"(x). X = 66²⁰ - f(x) = -3t²- f"(x) = -4t+ 3 dt.

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Q: Sketch the graph of a function that satisfies all of the given conditions. (a) f'(x) > 0 and f"(x) <…

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Q: Find f such that f'(x) = f(4) = 20.

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Q: Let f(x) = 6 + V4x – 5. Find f-'(x). f- (x) = for x > 6

A: Given f(x)=6+4x-5 The objective is to find f-1(x).

Q: Suppose that f(-5) = 0, f'(-5) = 4, f(8) = 9, f'(8) = 6, g(8) = -5, and g'(8) = 4. Compute (f o…

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Q: 2 Let f(x) = √3x² + 3x + 2 f'(x) = ƒ'(1): = OF

A: Topic - Derivative of  a function We are given, f(x)=3x2+3x+2Formulas usedChain rule:…

Q: Let f(x) = x7 Then f'(x) is 5æ5 + 3x³ – 3æ – 4. За — - - f'(3) is f' '(x) is and f''(3) is

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Q: Differentiate the following function: VP - 4V U = u =||

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Q: Let f(x)=√1+4x f'(3)

A: We know that the derivative of x^n=nx^(n-1)

Q: Let f(x) = – 5 In(7x) f'(x) =

A: Given,           fx=-5ln7x

Q: Suppose f(x) √₂+² = √1+tdt 2x find f'(1).

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Q: Suppose F(x) = f(x² + 1). Find F'(1) if f'(2) = 9.

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Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

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Q: then compute f'(4). f(x) = x³ + 2x² x√x

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Q: 2 Let f(x) = Compute f'(a). 7x +2 f'(a) = %3D

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Q: Which interval is f increasing when f' (x) = x³ - x ? (a). (-00, 0) (b). (–1,0) (c). (–1,1) (d). (0,…

A: If f'(x) &gt;0 then f is increasing.

Q: Suppose that Find f'(x). f'(x) = = f(x+h)-f(x) = 6hx - 4h +8h².

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Q: Find f such that f' (x): f(4) = 40. f(x) =

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Q: Let 1 + 1 f(x) = 9x - 2/x + 4x + %3D Find f' (1). Enter your answer as an INTEGER: f'(1) =

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Q: a. A moving company is shipping my stuff on a move from Sandy to St George. The maximum weight on…

A: we are given some models and we have to write an inequality.

Q: Let Compute f'(2). ƒ(x) = x³ + 3ª

A: This is a problem related to differentiation of the function. Please follow the procedure given…

Q: Find (f-')'(@). 3 f(x) = x + x < 0, a = - 4 (f-1)'( – 4) = Preview

A: The given function is f(x)=x+3x and a=-4

Q: Suppose f(x) = 6t²√1+tº dt. 1) Evaluate f (2). 2) Evaluate f'(2). 3) Evaluate f"(2).

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Q: let p(x)=g(f(x)). use the given table to find p'4

A: p(x)=g[f(x)] diff. w. r. to x p'(x)=g'[f(x)] . f'(x)  ..................(1)

Q: 3. 1 -4 0. 5-1 2 -5 0 19-13 3-2 3 -2 3.

A: Given matrix are 1−4305−12−503−28 and 1−430019−13−503−28. First transform the first matrix into the…

Q: Find f such that f'(x) = x² +4 and f(0) = 3.

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Q: Suppose that f(-4)=3, f'(-4)=0, g(-4)=3, g'(-4) = 4. Use this to compute (f•g)'(-4)

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Q: 7. Determine f'(x) where

A: Derivative: - The rate of change of a function with respect to a variable is called derivative in…

Q: Let f(x) = ƒ' (5) = f" (5) = f"" (5) = 1-4x 1+4x Compute the following.

A:

Q: Find F'(0) if F'(x)= (1+x) (2+ x)² (3 + x)³ (4 + x)+.

A: Solve the given problem.

Q: Suppose that f(x) = x2 + 17 Find f' (1). f'(1) =|

A: The function fx=exx2+17. We have to calculate the value of f'1.

Q: Let f(x) = √5x² + 3x + 7 f'(x) = f'(2) =

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Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: Find (f1)'(3) given the following table of values. f(z) f'(z) 3 1

A: The given table is, x fx f'x 2 3 1 This means that, At x=2,   fx=3   and  f'(x)=1. That is,…

Q: Suppose f(r) = (In z)e. What is f'(x)?

A: d/dx (f(x)g(x))= f(x)g'(x)+g(x)f'(x)