Download App

Limits and Derivatives — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSLimits and Derivatives3 Marks
Question
Find the derivative of function cosec x cot x.
✓

Answer

Here f (x) = cosec x cot x
$\therefore $f'(x) = $\frac{d}{{dx}}$ [cosec x cot x]
= cosec x $\frac{d}{{dx}}$ (cot x) + cot x $\frac{d}{{dx}}$ (cosec x)
= cosec x . – cosec2 x + cot x . – cosec x cot x
= - cosec3 x – cosec x cot2 x.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Limits and Derivatives→Limits and Derivatives — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Find the equation of the circle passing through the points (4, 1) and (6, 5) and whose centre is on the line 4x + y = 16.
→
Solve the following linear inequations in R:
$\frac{2\text{x}-3}{3\text{x}-7}>0$
→
Reduce the following equations to the normal form and find p and $\alpha$ in each case:
$\text{x}+\text{y}+\sqrt{2}=0$
→
Find the modulus and argument of the complex number $\frac{{1 + 2i}}{{1 - 3i}}$.
→
Find the equation of the circle which passes through the points (2, 3) and (4, 5) and the centre lies on the straight line y - 4x + 3 = 0.
→
A student has to answer 10 questions, choosing at least 4 from each of part A and part B. If there are 6 questions in part A and 7 in part B, in how many ways can the student choose 10 questions?
→
If for a distribution $\sum(\text{x}-5)=3,\sum(\text{x}-5)^2=43$ and the total number of item is 18, find the mean and standard deviation.
→
Find the equation of the line passing through the intersection of the lines 2x + y = 5 and x + 3y + 8 = 0 and parallel to the line 3x + 4y = 7.
→
The centroid of a triangle ABC is at the point (1, 1, 1). If the coordinates of A and B are (3, -5, 7) and (-1, 7, -6) respectively, find the coordinates of the point C.
→
A convex polygon has 44 diagonals. Find the number of its sides.
[Hint: Polygon of n sides has (nC2 – n) number of diagonals.]
→