The interval containing all the real values of $x$ such that the real valued function $f(x)=\sqrt{x}+\frac{1}{\sqrt{x}}$ is strictly increasing is

The value of Lagrange's mean value theorem for $f(x)=e^x+24$ in $[0,1]$ is

Equation of the normal to the curve $y=x^2+x$ at the point $(1,2)$ is

Displacement $s$ of a particle at time $t$ is expressed as $s=2 t^3-9 t$. Find the acceleration at the time when $b^{t 5}$ velocity vanishes.