Q8 of 116 Page 875

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,


More from this chapter

All 116 →
6

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


 7

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


 9

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


 10

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