Answer :

Given:


f(x) = x3


If a function is differentiable at a point, it is necessarily continuous at that point.


Left hand derivative (LHD) at x = 3






Right hand derivative (RHD) at x = 3






LHD = RHD


Therefore, f(x) is differentiable at x = 3.



Also, f(3) =27


Therefore, f(x) is also continuous at x = 3.


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
caricature
view all courses
RELATED QUESTIONS :

Show that of all Mathematics - Board Papers

Find the value ofMathematics - Board Papers

If x sin (a + y) Mathematics - Exemplar

The function f(x)Mathematics - Exemplar

Show that of all Mathematics - Board Papers

If the function fMathematics - Board Papers

Find <img wMathematics - Exemplar

Let f(x) = |sinx|Mathematics - Exemplar

The derivative ofMathematics - Exemplar