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Question
Find the derivative of the following function (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)
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Solution
Let f(x) = x + a. Accordingly, f (x + h) = x + h + a
By first principle,
f(x) = `lim_(h->0) (f(x + h) - f(x))/h`
= `lim_(h->0) (x + h + a - x - a)/h`
= `lim_(h->0)(h/h)`
= `lim_(x->0) (1)`
= 1
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