Maharashtra Board Solutions for Chapter: Applications of Derivatives, Exercise 2: EXERCISE 2.2

Find the approximate value of $e^{0.995}$. 

Hint: $e=2.7183$

Find the approximate value of $e^{2.1}$ given that $e^2=7.389$.

Find the approximate value of $3^{2.01}$ given that $\log 3=1.0986$.

Find the approximate value of ${\log }_{\epsilon }\left(101\right)$ given that ${\log }_{\epsilon }10=2.3026$

Find the approximate value of ${\log }_e\left(9.01\right)$, given that $\log 3=1.0986$.

Find the approximate value of ${\log }_{10}\left(1016\right)$, given that ${\log }_{10}e=0.4343$.

Find the approximate value of $f\left(x\right)=x^3-3x+5$ at $x=1.99$.

Find the approximate value of $f\left(x\right)=x^3+5x^2-7x+10$ at $x=1.12$