NCERT Solutions for Class 11 Maths Chapter 13 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 13 Limits and Derivatives Miscellaneous Exercises are based on the following concepts:

Intuitive Idea of Derivatives
Limits
Limits of Trigonometric Functions
Derivatives

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Chapter Related Topics
Derivative of Inverse Trigonometric Function	Value of Log Infinity	Ln and Log

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CBSE CLASS XII Related Questions

1.
If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).
View Solution
2.
Find a point on the line \( \frac{x - 2}{3} = \frac{1 - y}{2} = \frac{z - 3}{2} \) at a distance of \( \sqrt{2} \) units from the point \( (1, 2, 3) \).
View Solution
3.
Differentiate \( \tan^{-1}\left( \frac{\sqrt{1 + x^2} + \sqrt{1 - x^2}}{\sqrt{1 + x^2} - \sqrt{1 - x^2}} \right) \) with respect to \( \cos^{-1}(x^2) \).
View Solution
4.
Find:

The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]
View Solution
5.
Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]
View Solution
6.
At a birthday party, children are being served orange juice in conical cups, as shown in the figure.

Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
On the basis of the above information, answer the following questions :

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NCERT Solutions For Class 11 Maths Chapter 13: Limits and Derivatives

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NCERT Solutions for Class 11 Maths Chapter 13 Exercise 13.1

NCERT Solutions for Class 11 Maths Chapter 13 Exercise 13.2

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