Parthasarathi Mukhopadhyay and Manabendra Nath Mukherjee Solutions for Exercise 8: MORE PROBLEMS FOR PRACTICE

Find the derivative of the following with respect to $x$ : $\sqrt[3]{x^2+25}$.

Find the derivative of the following with respect to $x$ : $\log \left(x^3+x+1\right)$

Find the derivative of the following with respect to $x$ : $\log \left(\sec x+\tan x\right)$

Find the derivative of the following with respect to $x$ : $a^{x^2+b}$.

Find the derivative of the following with respect to $x$ : ${\left({\sin }^{-1}x\right)}^3$.

Find the derivative of the following with respect to $x$ : ${\log }_{x}a$.

Find the derivative of the following with respect to $x$ : $e^{{\cos }^{-1}x}$.

Differentiate with respect to $x$: 

${\log }_x\left(a+x^2\right)$