Q. 18

# Find the derivation of each of the following from the first principle:

Answer :

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) = (a^{2} – b^{2})

Using the formula:

Putting h = 0, we get

Hence,

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