The graph shown below is f(x) = 2x 2-1. If g(x) = Jof(t)dt, find g '(3). 4320 543-2-1 1 2 3 4 5 - -21 3 4 5

Q: Given that f'(x) = 4(x + 2)(x + 5), The graph of f(x) at x = 3 is [Select an answer

A: Concept let a function f(x)  and its derivative is f'(x) at x = a if f'(a) >0   ---- then at x =…

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Q: The graph shown below is f(x) = 3x - 2. If g(x) = f(t) dt, what is g'(-1)? f 5 4 3 O 5 O 3 0 1 O -5…

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Q: If h(x) = [f (x)]2 + 1g(x), determine h(1) and h(1), given that f (1) = 1, g(1) = 4, f (1) = -1,…

A: Given: hx=fx2+gx  ……1   Also, f1=1g1=4……2   and, f'1=-1g'1=4……3

Q: 4. Given the functions g(x) = 5x +1 find g'(x) 2х -6

A: The given function is: g(x)=5x+12x-6

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Q: If g'(0) = 7 and f(x) = 2g(x) - 4ex - x² + 3x, what is f'(0) [A] 13 [B] 11 [C] 14 [E] 17-4e [D] 17-e

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Q: 1„2 The graph shown is f (x) = ±x². 4 3 21 1 54 3-2 -14 1 2 3 4 5 -2 3 4 If g(x) = `f(t) dt, what is…

A: This is a problem of antiderivative function. Based on the general formula we will answer the…

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 4. Find values for F(1) and F(9) 2 1 -1…

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Q: The graph shown below is f(x)=√x+1.If g(x) = f(t)dt, find g '(3). 5 4 3 2 X 5 4 3 2 1 1 2 3 4 5 कृ…

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Q: Let h(x) = f(x)g(x). If f(x) = -5a2 +5x- 4, g(2) = 3, and g'(2) = -4, what is h'(2)? %3D %3D Provide…

A: Find the derivative of h at x=2

Q: The graph of g(x) is shown below. Each piece of g is a straight line. y = g(x) -2 -3 0 1 2 3 4 5 6 7…

A: Given curve: y = g(x)andG(x) = ∫2xg(t)dt = ∫2xg(x)dx  =∫2xg(u)du  (In definite integral, the value…

Q: I want to know why the absolute minumum value is -6.35.

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Q: = Söf(t)d t, find g'(2) Y -2 8- 6+ 4 2+ (2)=4 2 4 st

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Q: If f(x) = (3x – 2)(2x + 3), then a. f(– 2) b. f'( – 2) = c. f''(– 2) d. The values of x for which…

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Q: Find the given value. g(x) = 5x3(x2 − 5x + 4),    g'''(0) g'''(0) =

A: Use derivative to get the value of g^"'(0).

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Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 2. Find values for F(2) and F(7) 7 + Hu…

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