CUET Mathematics 2022 16 July Shift 2 PYQs

The sides of an equilateral triangle are increasing at the rate of 5 cm/sec. The rate at which the area increases when the side is 20 cm, is

The slope of the tangent drawn at the point whose x coordinates is 2 on the curve $y = x|x|$.

The maximum value of $\left(\frac{1}{x}\right)^x$ for $x > 0$ is