How do you find the derivative of

Bryant Jacobs

Bryant Jacobs

Answered question

2022-04-15

How do you find the derivative of F(x)=x37x+5 using the limit definition?

Answer & Explanation

granfury90210birm

granfury90210birm

Beginner2022-04-16Added 10 answers

differentiating using the limit definition
f(x)=limh0f(x+h)f(x)h
The aim here is to obtain a factor h on the numerator which will cancel the h on the denominator.
f(x)=limh0(x+h)37(x+h)+5(x37x+5)h
limh0x3+3x2h+3xh2+h37x7h+5x3+7x5h
=limh0h(3x2+3xh+h27)h
The terms with an h on the numerator = 0 as h0
f(x)=3x27

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