Find the derivative of the functions from first principle: –x

Asked by Abhisek | 1 year ago |  106

Solution :-

Let f(x) = –x. Accordingly, f(x + h) = –(x + h) By first principle,

$$f'(x)=\lim\limits_{h \to 0}\dfrac{f(x+h)-f(x)}{h}$$

$$\lim\limits_{h \to 0}\dfrac{-(x+h)-(-x)}{h}$$

$$\lim\limits_{h \to 0}\dfrac{-x-h+x}{h}$$

$$\lim\limits_{h \to 0}\dfrac{-h}{h}$$

$$\lim\limits_{h \to 0}(-1)=-1$$

Answered by Pragya Singh | 1 year ago

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