Question:
$ If y = sec^{-1} [cosec\, x] + cosec^{-1} [sec\, x] + sin^{-1} [cos x] + cos^{-1} [sin\, x], then \frac{dy}{dx}$is equal to
$ If y = sec^{-1} [cosec\, x] + cosec^{-1} [sec\, x] + sin^{-1} [cos x] + cos^{-1} [sin\, x], then \frac{dy}{dx}$is equal to
Updated On: Jul 6, 2022
- 0
- 2
- -2
- -4
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Answer (d) -4
Was this answer helpful?
0
0
Top Questions on Derivatives of Functions in Parametric Forms
- If \( f(x) = x^x \), then the interval in which \( f(x) \) decreases is:
- AP EAMCET - 2024
- Mathematics
- Derivatives of Functions in Parametric Forms
- The area of the region under the curve \( y = |\sin x - \cos x| \) in the interval \( 0 \leq x \leq \frac{\pi}{2} \), above the x-axis, is (in square units):
- AP EAMCET - 2024
- Mathematics
- Derivatives of Functions in Parametric Forms
- If \( a \) is in the 3rd quadrant, \( \beta \) is in the 2nd quadrant such that \( \tan \alpha = \frac{1}{7}, \sin \beta = \frac{1}{\sqrt{10}} \), then \[ \sin(2\alpha + \beta) = \]
- AP EAMCET - 2024
- Mathematics
- Derivatives of Functions in Parametric Forms
- If the lines \( \frac{x-k}{2} = \frac{y+1}{3} = \frac{z-1}{4} \) and \( \frac{x-3}{1} = \frac{y - 9/2}{2} = z/1 \) intersect, then the value of \( k \) is:
- MHT CET - 2024
- Mathematics
- Derivatives of Functions in Parametric Forms
- If \( 2 \tan^2 \theta - 5 \sec \theta = 1 \) has exactly 7 solutions in the interval \(\left[ 0, \frac{n\pi}{2} \right],\) for the least value of \( n \in \mathbb{N} \) then \(\sum_{k=1}^{n} \frac{k}{2^k}\) is equal to:
- JEE Main - 2024
- Mathematics
- Derivatives of Functions in Parametric Forms
View More Questions