Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): (x + a)

Asked by Pragya Singh | 2 years ago |  80

1 Answer

Solution :-

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

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

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

\(\lim\limits_{h \to 0}(\dfrac{h}{h})\)

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

= 1

Answered by Abhisek | 2 years ago

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