Question: 8. Given the function f(x) = x - 10x +3, a) Find f'(x) using First Principles. f'(x) = lim f( x t h) - f(x)

8. Given the function f(x) = x - 10x +3, a) Find f'(x) using First Principles. f'(x) = lim f( x t h) - f(x) h +0 h [(x + h)= - 10(x + h) + 3] - (x2 -10x +3) f'(x) = lim h - 0 h x3+ 2xh + h- - 10x - 10h +3-x+10x -3 f'(x) = lim h+0 h 2xh - 10h + h2 f' (x) = lim h f'(x) = lim(2x - 10 + h) h-0 f'(x) = lim 2x - 10 b) Graph f (x) and f'(x) on the same axes. c) What do you notice about f (x) when f'(x) = 0

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