2.  Find the derivative of x at x = 1.

Answers (1)

Given

f(x)= x

Now, As we know, The derivative of any function at x is 

f'(x)=\lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}

The derivative of f(x) at x = 1:

f'(1)=\lim_{h\rightarrow 0}\frac{f(1+h)-f(1)}{h}

f'(1)=\lim_{h\rightarrow 0}\frac{(1+h)-(1)}{h}

f'(1)=\lim_{h\rightarrow 0}\frac{(h)}{h}

f'(1)=1 (Answer)

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