Write the value of $\frac{d}{dx}\left\{\left(x+\left|x\right|\right)\left|x\right|\right\}$.

Important Questions on Derivatives

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 30 - Derivatives>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 7

If $f\left(x\right)=\left|x\right|+|x-1|,$ write the value of $\frac{d}{dx}\left(f\right(x\left)\right)$.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 30 - Derivatives>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 8

Write the value of the derivative of $f\left(x\right)=|x-1|+|x-3|$ at $x=2.$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 30 - Derivatives>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 9

If $f\left(x\right)=\frac{x^2}{\left|x\right|},$ write $\frac{d}{dx}\left(f\left(x\right)\right)$.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 30 - Derivatives>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 10

Write the value of $\frac{d}{dx}\left(\log \right|x\left|\right)$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 30 - Derivatives>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 11

If $f\left(1\right)=1, f^{\text{'}}\left(1\right)=2,$ then write the value of $\underset{x\to 1}{\lim }\frac{\sqrt{f\left(x\right)}-1}{\sqrt{x}-1}$.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 30 - Derivatives>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 12

Write the derivative (only numerical value) of $f\left(x\right)=3|2+x|$ at $x=-3.$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 30 - Derivatives>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 13

If $\left|x\right|<1$ and $y=1+x+x^2+x^3+\dots ,$then write the value of $\frac{dy}{dx}.$

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 30 - Derivatives>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 14

If $f\left(x\right)={\log }_{x^2}{x}^3,$ write the value of $f^{\text{'}}\left(x\right).$