Find the derivation of each of the following from the first principle:
(ax + b)
Let f(x) = ax + b
We need to find the derivative of f(x) i.e. f’(x)
We know that,
…(i)
f(x) = ax + b
f(x + h) = a(x + h) + b
= ax + ah + b
Putting values in (i), we get
f’(x) = a
Hence, f’(x) = a
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