How you you find the derivative f(x)=x^{2} using First Principles?

tonnithrkr

tonnithrkr

Answered question

2022-04-30

How you you find the derivative f(x)=x2 using First Principles?

Answer & Explanation

Daisy Patrick

Daisy Patrick

Beginner2022-05-01Added 16 answers

f(x)=limh0f(x+h)f(x)h
f(x)=limh0(x+h)2x2h
f'(x)=limh0x2+2xh+h2-(x2)h
f'(x)=limh0h(2x+h)h
f(x)=limh0(2x+h)
f'(x)=2x

Elsaidrge

Elsaidrge

Beginner2022-05-02Added 11 answers

f(x)=limh0f(x+h)f(x)h
f(x)=limh0(x+h)2x2h
=limh0x2+2hx+h2x2h
=limh0h(2x+h)h
=2x

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