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Limits and Derivatives
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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 ): $x+a$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
misc
p317-318
q2
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Apr 12, 2014
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thanvigandhi_1
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1 Answer
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Let $ f(x) = x+a$. Accordingly, $ f(x+h) =x+h+a$
By first principle,
$ f'(x) \lim\limits_{ h \to 0} \large\frac{f(x+h)-f(x)}{h}$
$ = \lim\limits_{ h \to 0} \large\frac{x+h+a-x-a}{h}$
$ = \lim\limits_{ h \to 0} \bigg( \large\frac{h}{h}\bigg)$
$ = \lim\limits_{ h \to 0} (1)$
$ = 1$
answered
Apr 12, 2014
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thanvigandhi_1
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