Q. 194.3( 3 Votes )

# Differentiate <sp

Answer :

Let and .

We need to differentiate u with respect to v that is find .

We have  By substituting ax = sin θ, we have   [ sin2θ + cos2θ = 1]

u = sin–1(2sinθcosθ)

u = sin–1(sin2θ)

Given However, ax = sin θ   Hence, u = sin–1(sin 2θ) = 2θ.

u = 2sin–1(ax)

On differentiating u with respect to x, we get  We know    We know   Now, we have On differentiating v with respect to x, we get  We know    We know and derivative of a constant is 0.   We have    Thus, Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Show that of all Mathematics - Board Papers

Find the value ofMathematics - Board Papers

If x sin (a + y) Mathematics - Exemplar

The function f(x)Mathematics - Exemplar

Show that of all Mathematics - Board Papers

If the function fMathematics - Board Papers

Find <img wMathematics - Exemplar

Let f(x) = |sinx|Mathematics - Exemplar

The derivative ofMathematics - Exemplar