Easy
If $f(x)$ is an even function,then $f^{\prime}(x)$ is
- Aan odd function
- Ban even function
- Cmay be even or may be odd
- Dnothing can be said
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Similar Questions
The left-hand derivative of $f(x) = \{x\} \sin(\pi x)$ at $x = k$ ($k$ is an integer) is (where $\{ \}$ denotes the fractional part function).
For some constants $a$ and $b$,find the derivative of $(x-a)(x-b)$.
Medium
View SolutionIf $y = |\cos 4x| + |\sin 4x| + |\tan 4x|$,then find $\frac{dy}{dx}$ at $x = \frac{\pi}{6}$.
$\frac{d}{dx} \left( \sqrt{3} \sin \left(2x + \frac{\pi}{3} \right) + \cos \left(2x + \frac{\pi}{3} \right) \right) = $ . . . . . .
$x = \frac{1-\sqrt{y}}{1+\sqrt{y}} \Rightarrow \frac{dy}{dx}$ is equal to
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