UP Board Class 12 Mathematics — practice questions
13 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice UP Board Class 12 Mathematics in the app →If $y= in(x^x)$ for $x>0$, what is $\dfrac{dy}{dx}$?If $y=e^x+x^e+e^e$, then $\dfrac{dy}{dx}$ equalsThe derivative of $ in^3(2x)$ isIf $y=(x^2+3)^{3/2}$, then $\dfrac{dy}{dx}$ isFor the expression $ qrt{x^2-1}$, which substitution is most appropriate?For the expression $ qrt{1-x^2}$, a useful trigonometric substitution isWhich identity is correct?If $y=\dfrac{1}{x^n}$, then $\dfrac{dy}{dx}$ isWhat is $\dfrac{d}{dx}(\tan^{-1}x)$?The derivative of $\cos^{-1}x$ isThe derivative of $ in^{-1}x$ isIf $y=x^{\tan^{-1}x}$, then $\dfrac{dy}{dx}$ equalsWhat is the derivative of $x^x$ for $x>0$?