Q6 of 92 Page 312

Find the derivative of for some fixed real number a.

Given f(x) =

Since,

f’(x) = nx^n-1 + a(n-1)x^n-2 + a²(n – 2)x^n-3 + … + a^n-1 + aⁿ(0)

f’(x) = nx^n-1 + a(n-1)x^n-2 + a²(n – 2)x^n-3 + … + a^n-1

Find the derivative of the following functions from first principle.

For the function .Prove that f’ (1) =100 f’ (0).

For some constants a and b, find the derivative of

(x − a) (x − b)

For some constants a and b, find the derivative of