Each of the following limits represents a derivative f'(a). (5 + h) - 125 (a) lim Choose the correct expression for f(x). O5+x 1 x - 5 O x - 125 x - 5 O x* + x O x' Determine a. (Give your answer as a whole or exact number.) 75 x' - 64 (b) lim X4 x-4 Choose the correct expression for f(x). Ox O x - 4 X - 4 O x' - 64 X - 4 x" X - 4 Determine a. (Give your answer as a whole or exact number.) a = 52+h - 25 (c) lim Choose the correct expression for f(x). Ox- 2 Determine a. (Give your answer as a whole or exact number.) a =

Q: 62²(2³-128) (³+64)³ Consider the function f and its derivatives f(x)=3+64 f'(x)= -2(³-32) (+64)2…

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A: f(x)=-4+x,    if x<3   2-x,    if x⩾3 now I am attaching image so that you can easily understand…

Q: Suppose that f is a function given as f(x) = -3x² - 2x - 3. Simplify the expression f(x + h). f(x +…

A: f(x)=-3x2-2x-3(i) f(x+h)=-3(x+h)2-2(x+h)-3

Q: Write an example of a function f that satisfies lim f(x) = 2 X→1 x-1

A: Limit.

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Q: Vx+5-3 (a) Find lim,4 analytically. X-4 Vx+5-3 -, x * 4 (b) Let f(x) = x-4 13, x = 4 Use the three…

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Q: lim x>-3- x² +2xr-3 a. X- 7X b. lim x>-3+ x2 +2x-3 lim x>-3 x² +2x-3 C. X- ,X

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Q: o make the function one to one we restrict the domain x>-4 d(x) =(x+4)^2-2

A: given that the function f(x)=(x+4)2-2

Q: f(x) Let lim f(x) = - 8 and lim g(x) = - 4. Find lim Xa xa Xa 9(x) O A. 10 О В. 2 OC. O D. -4

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