Q. 1 H4.0( 2 Votes )

# Differentiate eac

Answer :

We need to find the derivative of f(x) = kxn

Derivative of a function f(x) from first principle is given by – {where h is a very small positive number}

derivative of f(x) = kxn is given as –   Using binomial expansion we have –

(x + h)n = nC0 xn + nC1 xn – 1h + nC2 xn – 2h2 + …… + nCn hn  Take h common –  As there is no more indeterminate, so put value of h to get the limit. f’(x) = k nC1 xn – 1 = k nxn – 1

Hence,

Derivative of f(x) = kxn is k nxn – 1

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate eacRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate theRD Sharma - Mathematics

Differentiate eacRD Sharma - Mathematics

Differentiate eacRD Sharma - Mathematics