Medium
If $f : R \to R$ is an even function, then which of the following is true?
- A$f'(0) = 1$
- B$f'(x)$ is an even function
- C$f(0) = 0$
- D$f'(x)$ is an odd function
Explore More
Similar Questions
If $f(x) = \frac{\sin^2 x}{1+\cot x} + \frac{\cos^2 x}{1+\tan x}$,then the value of $f^{\prime}\left(\frac{\pi}{6}\right)$ is equal to
If $y = \log(\sec(\tan^{-1} x))$ for $x > 0$,then the value of $\frac{dy}{dx}$ at $x = 1$ is:
Differentiate the function with respect to $x$: $\cos (\sqrt{x})$
Medium
View SolutionIf $f(x) = \log_{x^2} (\ln x)$,then $f'(e)$ is equal to . . . . . .
$A$ possible positive value of '$a$',for which $f^{\prime}(x)=0$ has equal roots,is
Vedclass 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