Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

Let $y=log_e\left(\frac{a+bsinx}{a-bsinx}\right),$ then value of $\frac{dy}{dx}$ is :

Options:

$\frac{abcos x}{a^2-b^2sin^2x}$

$\frac{abcos x}{a^2+b^2sin^2x}$

$\frac{asin x}{a^2-b^2sin^2x}$

$\frac{2abcos x}{a^2-b^2sin^2x}$

Correct Answer:

$\frac{2abcos x}{a^2-b^2sin^2x}$