2) Which of the following expressions is equal to lim (x+h)100-x100, h-0 h A) x100 B) 100x99 C) x99 D) 100x 3) Find f' (x) lx= -2 = if given y = f(x) has a tangent line y = - 2x-9 at x 2, and y = 3x - 1 at x = - 1/2 and y = - 8 at x = - 2 A) 0 B) 3 C) -8 D) - 2 4) Use Important Result of ( xa )' = a xa-1 to find ( 1/ x4)' = B) 4 x3 A) 1/4x3 C) 1 D) - 4 x-5 5) Use Important Result of ( xa )'= a xa-1 to find the derivative 20 A) 19 B) * 4/3 C) 2,19/5 D) 지/3 15

Q: f'(a) = lim h→0 f(a+h)-f(a) h

A:

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A: Solution:

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Q: f(x) = cos(IX) 2*-x f '(x)

A: Differentiation under quotient rule

Q: 92. Use the definition of the derivative to prove that every quadratic function f(x) = ax² + bx +c…

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A: Both question are solved as, follow

Q: 11. f(x) = 4x³ In(5x² +1)

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Q: 3) Given f(x) = x² - 2x - 8 A) find the derivative f '(x) by solving lim [f(x+h)-f(x)] h→0 ALWAYS…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

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A: Given that: f(x)=x+63x-4

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Q: 2. Use the definition = f'(x) = limw-x- S(w)-r(x). to find the derivative of w-x y = tan x.

A: