Find the following using the table below. 1 `f(x) `f'(x) g(x)` g'(x) 2 3. 1 4 4 3 2 1 13 `h'(2)' if `h(x)=f(g(x))` 1, 3. 寸|N|

Q: (b) Differentiate the function below with respect to a. f(x)=ln (22²+5x-7)

A: We have to differentiate the given function f(x) with respect to x. We will apply chain rule here.

Q: 1 x4 - x³ + x² increasing? Find all intervals where the function f(x) = = 4

A: To find the intervals where the given function is increasing

Q: Consider the function f(x) - 2x + 1 Compute each of the 3 following. Simplify your answer and use…

A: Consider the given function.

Q: 3 The graphs of several functions f(x) for which f'(x) = - is X shown. Find the expression for the…

A: Given f'(x)=3/x and f(x) passes through the point (1,4).

Q: Given this graph of f'(x), prove which of the following symbols is appropriate to put in the blank.…

A: Here, from the given graph: f'(x)<0 on (-∞,-2)∪(0,6) So, f is decreasing on -∞,-2)∪(0,6

Q: 23 The derivative of the function f(x) = xª + is 23 4x3 (x²) 23 4x3 + (w³) 23 4x3 + (x) 1 4x 23 O 4x…

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Q: IfY C X, show that inf (X) < inf (Y)

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Q: Consider the functions f(x)= [x²-9 x*-1 2x ; x=-1 and (3x+2 g(x) = { x=-1 Define the new function…

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Q: Consider the following functions. g(x) = x3 – x h(x) = (x3 – x)4 f(x) = 9(x3 – x)4 Find the…

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Q: 2. The function g(x) is defined for -3 Sxs 3. The behaviour of g'(x) and g"(x) is given below. -3…

A: To answer the given question using the given tables of g'(x) and g''(x).

Q: . Solve the following a) Simplify f(x+h) - f(x) where f(x) = x^2-2x b) If f(x) = (x-2) (x^2-1),…

A: f(x)=x2-2x Now we find out f(x+h). Replace x with x+h f(x)=x2-2xf(x+h)=(x+h)2-2(x+h)=x2+2xh+h2-2x-2h…

Q: If f(4) 8 and f '(x) 2 1 for 4 < x < 9, how small can f(9) possibly be?

A: Given:- If f(4) = 8 and f '(x) &gt; 1 for 4 ≤ x ≤ 9 To find:- How small can f(9) possibly be?

Q: Suppose that the graph below is not the graph of f(x), but of f '(x). O A. (-o, - 1), (1,00) O B. (-…

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Q: If h(x)=f(g(x)), find h'(1) * h(x) = f(g(x)), find h'(1)

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Q: Find f(2021) if the function f satisfies following conditions,(a) f(1) = 1, (b) f(x+ y) = f(x) +…

A: To find - Find f2021 if the function satisfies following conditions, (a) f(1) = 1, (b) f(x + y) =…

Q: Consider the graphs of these three functions. 6 10 f" (x) is the [Select ] [ Select ] Dashed Line v.…

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