Find the derivation of each of the following from the first principle:
Let
We need to find the derivative of f(x) i.e. f’(x)
We know that,
…(i)
Putting values in (i), we get
Now rationalizing the numerator by multiplying and divide by the conjugate of
Using the formula:
(a + b)(a – b) = (a2 – b2)
Putting h = 0, we get
Hence,