Derivatives - Maharashtra Board STD 11 Maths Questions

Q 1MCQ1 Mark

If $\text{f}(\text{x})=1-\text{x}+\text{x}^2-\text{x}^3+\dots-\text{x}^{99}+\text{x}^{100},$then $f\ ' (1)$ equals

A
$150$
B
$-50$
C
$-150$
✓
$50$

Answer: D.

View full solution →

Q 2MCQ1 Mark

Let $\text{f}(\text{x})=\text{x}-[\text{x}],\text{x}\in\text{R},$ then $\text{f}'\Big(\frac{1}{2}\Big)$ is :

A
$\frac{3}{2}$
✓
$1$
C
$0$
D
$-1$

Answer: B.

View full solution →

Q 3MCQ1 Mark

If $\text{f(x)}=\frac{\text{x}^\text{n}-\text{a}^\text{n}}{\text{x}-\text{a}},$ then $\text{f}'\text{(a)}$ is :

A
$1$
B
$0$
C
$\frac{1}{2}$
✓
$\text{dose not exist}$

Answer: D.

View full solution →

Q 4MCQ1 Mark

If $\text{y}=\frac{\sin(\text{x}+9)}{\cos\text{x}},$ then $\frac{\text{dy}}{\text{dx}}$ at $x = 0$ is :

✓
$\cos9$
B
$\sin9$
C
$0$
D
$1$

Answer: A.

View full solution →

Q 5MCQ1 Mark

if $\text{f}(\text{x})=1+\text{x}+\frac{\text{x}^2}{2}+\dots+\frac{\text{x}^{100}}{100},$then $f\, '(1)$ is equal to :

A
$\frac{1}{100}$
✓
$100$
C
$50$
D
$0$

Answer: B.

View full solution →

Q 6Solve the following Question.(1 Marks)1 Mark

Write the value of $\frac{\text{d}}{\text{dx}}\big\{(\text{x}+|\text{x}|)|\text{x}|\big\}$

View full solution →

Q 7Solve the following Question.(1 Marks)1 Mark

If $\text{f}(\text{x})=\frac{\text{x}^2}{|\text{x}|},$ write $\frac{\text{d}}{\text{dx}}\big(\text{f}(\text{x})\big)$

View full solution →

Q 8Solve the following Question.(1 Marks)1 Mark

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

View full solution →

Q 9Solve the following Question.(1 Marks)1 Mark

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

View full solution →

Q 10Solve the following Question.(1 Marks)1 Mark

Write the value of $\frac{\text{d}}{\text{dx}}(\text{x}|\text{x}|)$

View full solution →

Q 11Solve the Following Question.(3 Marks)3 Marks

Differentiate the following function with respect to x:$(\text{ax}+\text{b})^\text{n}(\text{cx}+\text{d})^\text{m}$

View full solution →

Q 12Solve the Following Question.(3 Marks)3 Marks

Differentiate the following from first principle:$\text{e}^{\text{3x}}$

View full solution →

Q 13Solve the Following Question.(3 Marks)3 Marks

Find the slope of the tangent to the curve $\text{f}(\text{x})=\text{2x}^6+\text{x}^4-1$ at$\text{x}=1$

View full solution →

Q 14Solve the Following Question.(3 Marks)3 Marks

Differentiate the following from first principle:$\text{x}^3-\text{5x}^2+\text{x}-5$

View full solution →

Q 15Solve the Following Question.(3 Marks)3 Marks

Differentiate the following function with respect to $(\text{x})$:$\cos(\text{x}+\text{h})$

View full solution →

Q 16Solve the Following Question.(4 Marks)4 Marks

Differentiate the following from the first principle$\sin\text{x}+\cos\text{x}$

View full solution →

Q 17Solve the Following Question.(4 Marks)4 Marks

Differentiate the following from first principle:$\frac{\text{x}+1}{\text{x}+2}$

View full solution →

Q 18Solve the Following Question.(4 Marks)4 Marks

Differentiate the following from the first principle$\text{x}\sin\text{x}$

View full solution →

Q 19Solve the Following Question.(4 Marks)4 Marks

Differentiate the following from the first principle$\sin(2\text{x}-3)$

View full solution →

Q 20Solve the Following Question.(4 Marks)4 Marks

Differentiate the following from the first principle$\text{x}^2\text{e}{^\text{x}}$

View full solution →

Q 21Solve the Following Question.(5 Marks)5 Marks

Differentiate the following from first principle$\sin\sqrt{2\text{x}}$

View full solution →

Q 22Solve the Following Question.(5 Marks)5 Marks

Differentiate the following from first principle$3^{\text{x}^2}$

View full solution →

Q 23Solve the Following Question.(5 Marks)5 Marks

Differentiate the following from the first principle$\text{x}^2\sin\text{x}$

View full solution →

Q 24Solve the Following Question.(5 Marks)5 Marks

Differentiate the following from the first principle$\sqrt{\sin\text{2x}}$

View full solution →

Q 25Solve the Following Question.(5 Marks)5 Marks

For the function $\text{f}(\text{x})=\frac{\text{x}^{100}}{100}+\frac{\text{x}^{99}}{99}+\dots+\frac{\text{x}^2}{2}+\text{x}+1.$Prove that $\text{f}'(1)=100\text{f}'(0).$

View full solution →

Derivatives question types

Derivatives questions

Generate a Derivatives paper free

Derivatives Maths - Derivatives

Derivatives question types

Derivatives questions

Generate a Derivatives paper free