Question 11 MarkIf $y=\cos \sqrt{x}$, then the value of $\frac{d y}{d x}$ will be ________ .Answer$\frac{-\sin \sqrt{x}}{2 \sqrt{x}}$View full question & answer→
Question 21 MarkDfferentiation of $\cos (\sqrt{x})$ w.r.t. $x$ is ________ .Answer$-\frac{\sin (\sqrt{x})}{2 \sqrt{(x)}}$View full question & answer→
Question 31 MarkIf $3 x+2 y=\cos y$, then $\frac{d y}{d x}$ __________ .Answer$\frac{-3}{2+\sin y}$View full question & answer→
Question 41 MarkIf $y=\log _a x$ then $\frac{d y}{d x}=$ __________ .Answer$\frac{1}{x \log _e a}$View full question & answer→
Question 51 MarkIf $y=x+e^x$ then $\frac{d^2 y}{d x^2}=$ _________ .Answer$e^x$View full question & answer→
Question 61 MarkIf $y=t^{10}+1$, and $x=t^8+1$, then $\frac{d^2 y}{d x^2}=$ __________ .Answer$\frac{5}{16 t^6}$View full question & answer→
Question 71 Mark$y=\log _{10} x$ then derivative of $y$ w.r.t. $x$ is _________Answer$\frac{1}{x \log 10}$View full question & answer→
Question 81 MarkDifferentiation of $x^2$ w.r.t. $x^3$ is $=$ _________ .Answer$\frac{3 x}{2}$View full question & answer→
Question 91 MarkIf $y=\sin x^0$ and $\frac{d y}{d x}=k \cos x^0$, then $k=$ _________ .Answer$\frac{\pi}{180}$View full question & answer→
Question 101 MarkIf $y=\log |x|, x \neq 0$, then $\frac{d y}{d x}=$ ________ .Answer$\frac{1}{x}$View full question & answer→
Question 111 MarkIf $y=\tan x^0$, then $\left(\frac{d y}{d x}\right)_{x=45^0}=$ _________ .Answer$\frac{\pi}{90}$View full question & answer→
Question 121 Markfunction $f(x)=|x+1|, x=$ ________ is not differentiable.Answer-1View full question & answer→
Question 131 MarkIf $f(x)=\left\{\begin{array}{cc}\frac{\sin ^2 a x}{x^2} & , x \neq 0 \\ 1 & , x=0\end{array}\right.$ is continuous function at _________ .Answer$\pm 1$View full question & answer→
Question 141 MarkIf $f(x)=\left\{\begin{array}{c}\frac{x^3-a^3}{x-a}, x \neq a \\ b, x=a\end{array}\right.$, is continuous at $x=a$ then $b=$ _________ .Answer$3 a^2$View full question & answer→