Easy
$\frac{d}{dx}(e^{x^3})$ is equal to
- A$3xe^{x^3}$
- B$3x^2e^{x^3}$
- C$3x(e^{x^3})^2$
- D$2x^2e^{x^3}$
Explore More
Similar Questions
Let $f(x + y) = f(x) + f(y)$ and $f(x) = x^2 g(x)$ for all $x, y \in R$,where $g(x)$ is a continuous function. Then $f'(x)$ is equal to
Medium
View SolutionSuppose $f(x)$ is differentiable at $x = 1$ and $\mathop {\lim }\limits_{h \to 0} \frac{1}{h}f(1 + h) = 5$,then $f'(1)$ equals
If $f(x) = x^2 \sin \frac{1}{x}$ for $x \neq 0$ and $f(0) = 0$,then find $\lim_{x \rightarrow 0} f^{\prime}(x)$.
Let $f$ be a continuous function satisfying $f'(ln x) = \begin{cases} 1 & 0 < x \le 1 \\ x & x > 1 \end{cases}$ and $f(0) = 0$. Then $f(x)$ can be defined as:
Difficult
View Solution$\frac{d}{d x}\left[\left(x^{\frac{5}{2}}-x^{\frac{3}{2}}+1\right)\left(x^2-3 x+5\right)\right]=$
DifficultTS EAMCET 2022
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo