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how to get derivative of this questions algebraically?
f(x)=2x-x^2 using f(x+h)=f(x)/ h
i know the answer is 4x+1 but im not gettin this answer
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- Anonymous1 decade agoFavorite Answer
Start off with f(x + h):
f(x + h) = 2(x + h) - (x + h)²
==> 2x + 2h - x² - 2xh - h²
Then,
lim h→0 (2x + 2h - x² - 2xh - h² - 2x + x²)/h
==> lim h→0 (2h - 2xh - h²)/h
==> lim h→0 h(2 - 2x - h)/h
==> lim h→0 2 - 2x - h
==> 2 - 2x
Your answer is incorrect. It's 2 - 2x.
I hope this helps!
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