Question
Is every differentiable function continuous?

Answer

Yes, every differentiable function is continuous.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Write the vector equation of a line given by $\frac{\text{x - 5}}{3}=\frac{\text{y + 4}}{7}=\frac{\text{z - 6}}{2}.$
Evaluate the following:
$\sin^{-1}\Big(\sin\frac{5\pi}{6}\Big)$
if A is a $3\times3$ matrix and $\text{|3A| = K|A|,}$ then write the value of k.
In a school there are 1000 students, out of which 430 are girls. It is known that out of 430, 10% of the girls study in class XII. What is the probability that a student chosen randomly studies in class XII given that the chosen student is a girl?
If $\vec{\text{a}}, \text{ }\vec{\text{b}},\text{ } \vec{\text{c}}$ are unit vectors such that $\vec{\text{a}}, \text{ }\vec{\text{b}}, \text{ }\vec{\text{c}}\text{ }=\vec{0},$ then write the value of $\vec{\text{a}} \text{ . }\vec{\text{b}} + \vec{\text{b}} \text{ . } \text{ }\vec{\text{c}} +\vec{\text{c}} . \vec{\text{a}}\text{ }.$
Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\Big(\frac{\text{dy}}{\text{dx}}\Big)^3-4\Big(\frac{\text{dy}}{\text{dx}}\Big)^2+7\text{y}=\sin\text{x}$
Compute the following sums:
$\begin{bmatrix}3&-2\\1&4\end{bmatrix}+\begin{bmatrix}-2&4\\1&3\end{bmatrix}$
Integrate the function: $\frac{x \cos ^{-1} x}{\sqrt{1-x^{2}}}$
If A and B are two events such that P(A) $\ne$ 0 and P(B|A) = 1, then
Find all points of discontinuity of f, where f is defined by: $f\left( x \right) = \left\{ \begin{gathered} x + 1,\,\,if\,x \geq 1 \hfill \\ {x^2} + 1,\,\,if\,x < 1 \hfill \\ \end{gathered} \right.$