If f(x)=x^2-2x+3 how do you find f(a+h)-f(a)/h?

osnomu3 2021-12-24 Answered
If f(x)=x22x+3 how do you find f(a+h)-f(a)/h?
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deginasiba
Answered 2021-12-25 Author has 31 answers
Substitute a+h and a for x in the formula for f(x) and simplify to find:
f(a+h)f(a)h=2a2+h
f(x)=x22x+3
Then: f(a+h)f(a)h
a2+2ah+h22a2h+3a2+2a3h
=2a2+h
So:
limh0f(a+h)f(a)h=limh0=(2a2+h)=2a2
This is the derivative of f(x) at x=a
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Timothy Wolff
Answered 2021-12-26 Author has 26 answers
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Answered 2021-12-30 Author has 229 answers

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