Q. 30

Mark (√) against A.

B.

C.

D. none of these

Answer :

Given that y=sin-1(3x-4x3)


Let x=sin θ


θ=sin-1x


Then, y= sin-1(3sinθ -4sin3θ)


Using sin3θ=3sinθ -4sin3θ, we get


y=sin-1(sin3θ)=3θ=3sin-1x


Differentiating with respect to x, we get


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
caricature
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