CBSE · Mathematics
Differentiation
588 practice questions for CBSE — 210 easy · 301 medium · 77 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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Numerical
Let $f(x)=x^{3}+x^{2}f^{'}(1)+xf^{"}(2)+f^{\operatorname{'''}\,}(3),x\in\,R$. Then $f^{'}(10)$ is equal to
MCQ
Paragraph: Let $f(x)=|\ln x|, x \neq 1$ Question: What is the derivative of $f(x)$ at $x=2$ ?
MCQ
If $z=fof(x)$ where $f(x)=x^2$, then what is $\frac{d z}{d x}$ equal to?
MCQ
If $f(x)=2^x$, then what is $f^{\prime \prime}(x)$ equal to?
MCQ
If $u \equiv u(x, y)=\sin (y+a x)-(y+a x)^2$, then it implies
MCQ
If $y=e^{\sin ^{-1} x}$, then $\left(1-x^2\right) y_2-x y_1=$
MCQ
If $f(x)=x^3+p x^2+q x$ is defined on $[0,2]$ such that $f(0)=f(2)$ and $f^{\prime}\left(1+\frac{1}{\sqrt{3}}\right)=0$, then $p^2+q^2=$
MCQ
The curve represented by $x=t^5+5 t^3+20 t+7$ and $y=4 t^3-3 t^2-18 t+3$ is decreasing in the interval
MCQ
Match the following The correct answer is
MCQ
If the function $y=\sin ^{-1} x$, then $\left(1-x^2\right) \frac{d^2 y}{d x^2}$ is equal to
MCQ
If $f(x)=x^{\operatorname{Sec}^{-1} x}$, then $f^{\prime}(2)=$
MCQ
If $(a+\sqrt{2} b \cos x)(a-\sqrt{2} b \cos y)=a^2-b^2$ where $a>b>0$, then at $\left(\frac{\pi}{4}, \frac{\pi}{4}\right)$, $\frac{\mathrm{dy}}{\mathrm{dx}}=$