Aspire Faculty ID #13969 · Topic: JAMIA MILLIA ISLAMIA MCA 2020 · Just now
JAMIA MILLIA ISLAMIA MCA 2020

Which of the following functions show that the statement "If a function is continuous at $x=0$, then it is differentiable at $x=0$" is false?

Solution

$f(x) = x^{1/3}$ is continuous at $x = 0$ but derivative $\dfrac{df}{dx} = \dfrac{1}{3}x^{-2/3}$ is not defined at $x = 0.$ Hence, function is continuous but not differentiable at 0.

Previous 10 Questions — JAMIA MILLIA ISLAMIA MCA 2020

Nearest first

Next 10 Questions — JAMIA MILLIA ISLAMIA MCA 2020

Ascending by ID
Ask Your Question or Put Your Review.

loading...