uppose f(4) f'(4) g(4) 4 -7 g'(4) = -8 and that f'(x), g'(z) are continuous for all . (f(z)-4)² lim z++4 (g(z)+7)² O Cannot Be Determined

Q: etch the graph of a function that satisfies all of the given conditions. f'(5) = 0, f'(x) 0 when x…

A: We will find the required graph.

Q: Suppose f'(x) = x² - 1. Then the graph of f is concave upward on 0 (-∞0,0) O (-1,1) (0,00) O (-∞,…

A: Given: The derivative f'x=x2-1 Find on which interval the graph f is concave upward Concavity test:…

Q: +(n) = 3 (²³-9x² +33m - 18 enfor 1) Ⓒincreasing in (-0,0) (Ⓒineressing M- L decreasing in (2,8) in…

A: The function is given by:-Since, the natural log is present in the function.Domain of the function…

Q: Consider the function g∶Z⟶Z defined by g(n)=n^2+1. Find g(1) and g({1}). Then find g^(-1) (1),g^(-1)…

A: According to the given information, Consider the given function defined as:

Q: f'(x) = (x-1)(x-2)(x-3)(x-4)   What can be said about lim(x->infinity) if anything

A: Answer and explanation is given below

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

A:

Q: Differentiate the function f. Use the form f'(x) = f(x) = 9x² + x + 8 f'(x) = = lim h→0 f(x +h)-f(x)…

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Q: f' (x + h) – f'(x) Use f''(x) = lim to find f''(x). h→0 h f(x) = 1 – 5x f''(x) = Preview

A: Use the given formula to find f'(x).

Q: Find the derivative of f(x) = 33x-1 O 33x-2 In3 O 33x-1 In3 33x In3 32x In3

A: (1). Given: fx=33x-1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: let f(x)= 3^x and g(x)= 2x^2 +1 determine a) f(g(x)) b) f(g(0)) c) f^-1 (f)

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Q: and g(x) are differentiable functions, suppose that f(-2) = 1; f(1) = 5; f'(-2) = 3; f'(1) = 3;…

A:

Q: Assume that for a function f(x), f'(x) « O on the interval (-0, -5) and f'(x) » O on the interval…

A: From the given definition:  f ' (x) < 0 when x < -5 so graph must be decreasing in this…

Q: Giren f(e) = 2x+1 and g(4) = x*+ 2x-1, in (- () Then valute he difcene hen x=2.

A:

Q: Let f' (x) 0 for all x with -o∞ f(c) More information is needed.

A: Given  Let f'x<0 and f''x>0 for all x with -∞<x<∞ Let a,fa and  c,fc be two points on…

Q: Let f (x) = ln (arccot (x*)). What is f' (x)? 4x3 (1+ x8 ) arccot(x4) 3x3 (1+x7) arccot(x4) 4x3…

A:

Q: 1 If f(x) 1 then x2 f'(2) = |(2x^2+6x+12)/(x^5) Preview

A:

Q: Find domain of the follaw ing fanctionss (^) f(x)= In-2) (6) 67 F=

A: fx=lnx-2 the log function is defined for only positive real numbers so the value of x-2 should be…

Q: Sketch a possible graph of a function that satisfies all of the following conditions: f'(2) = 0,…

A:

Q: S(x) 르 arcsin (금x + 1) -3 Let f '(x) = . a Find f' (x) giving your answer in the form TV (bx(x + c)…

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Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞) . Find ALL interval(s) for which f""…

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Q: Find the derivative of f(z) = (x³ + 5)(z³ – 5) %3D (8z")(5x*) (8z +5)(z – 5) + (z³ + 5)(5x* – 5) (8z…

A: We need to use the product rule.

Q: Let f: ℝ → ℝ by f(x) = 1 + x^2 and g: ℝ → ℝ by g(x) = 2^x + 3, calculate the following: (f ○ g)(1)

A: The composition of f and g is defined as:

Q: Suppose that Find f'(2). f'(2) = f(x) = = e³x x² + 4

A: Given f(x)=e3xx2+4   We are required to findf'(2)         The following formulas of derivatives has…

Q: Suppose f(-2)=0 g(-2) = 0 f'(-2) 5 g'(-2)=1 = and all functions are continuous. f(x) lim Z-2 g(x)

A: The given values are .To find the limit .

Q: if f' is continuous, f(3)=0, and f'(3)=7, evaluate lim x to 0 f(3+5x) + f(3+6x)/x

A: