Home
Class 12
MATHS
Differentiate. sin^2(cos^(-1)x)...

Differentiate.
`sin^2(cos^(-1)x)`

Text Solution

Verified by Experts

`y=sin^2(cos^(-1)x)=[sin(cos^(-1)x)]^2`
[sin sin^(-1)sqrt(1-x^2)]^2`
therefore dy/dx =-2x`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos

  • CONIC SECTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|179 Videos

  • DETERMINATES

    MBD PUBLICATION|Exercise QUESTION BANK|176 Videos

Similar Questions

Explore conceptually related problems

Differentiate. In cos e^x

Differentiate x^2sinx

Differentiate. sin^(-1)((2x)/(1+x^2))w.r.t.cos^(-1)((1-x^2)/(1+x^2))

Differentiate. cos^(-1)((x^4-1)/(x^4+1))

Differentiate. sec^(-1)(e^x+x)

Differentiate sin^(-1)(cos x) with respect to x.

Differentiate sin[cos(x^(2))] w.r.t. x.

Differentiate (x sin^(-1) x)/(sqrt (1 + x^2))

Differentiate sin^(-1)(tanx) with respect to x.