Embibe Experts Solutions for Chapter: Application of Derivatives, Exercise 1: MHT-CET 2019

The radius of a circle is increasing at the rate $2 \mathrm{cm}/\sec$. The rate at which its area is increasing, when the radius of the circle is $5$ decimeters, is

The displacement of a particle at the time $t$ is given by $s=\sqrt{1+t},$ then its acceleration $a$ is proportional to

A particle moves so that $x=2+27t-t^3$ . Find the distance(from origin) after which the direction of motion reverses-

Using differentiation, approximate value of $f\left(x\right)=x^2-2x+1$ at $x=2.99$ is ….

A tangent to the curve $x=a{t}^2, y=2at$ is perpendicular to $x$-axis, then the point of contact is

The equation of a normal to the curve $x=4\sec \theta$ and $y=4{\tan }^2\theta$ at $\theta =\frac{\pi }{4}$ is

The maximum value of the function $y=e^{5+\sqrt{3}\sin x+\cos x}$ is

If $f\left(x\right)=\left|x-2\right|, x\in \left[0,4\right]$, then the Rolle's theorem cannot be applied to the function because