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Find the derivative of the following fun...

Find the derivative of the following functions from first principle:
(i) ` x`
(ii) `(-x)^(-1)`
(iii) `sin (x + 1)`

Text Solution

Verified by Experts

(i)let `f(x)=x`
we need to find the derivative of `f(x)`
we know that `f'(x)=lim_(h->0)(f(x+h)-f(x))/h`
`f'(x)=lim_(h->0)((x+h)-(x))/h`
...
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