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Chapter 2: Q 1. (page 237)

Find the derivatives off(x)=x2.

Short Answer

Expert verified

The derivative off(x)=x2is2x.

Step by step solution

01

Given Information    

The given expression is f(x)=x2.

02

Simplification 

f'(x)=limh鈫�0f(x+h)-f(x)h=limh鈫�0(x+h)2-x2h=limh鈫�0x2+2hx+h2-x2h=limh鈫�0(2x+h)hh=2xTherefore,thederivateoff(x)=x2is2x.

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