Find the derivative of x at x = 1.

Asked by Pragya Singh | 1 year ago |  64

Solution :-

Let f(x) = x. Accordingly,

$$f'(1)=\lim\limits_{h \to 0}\dfrac{f(1+h)-f(1)}{h}$$

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

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

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

Thus, the derivative of x at x = 1 is 1

Answered by Abhisek | 1 year ago

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