How do you differentiate y = cos^2 (x^2)?

1 Answer
Apr 16, 2015

y'=-4xcos(x^2)(sinx^2)

Solution

y=cos^2(x^2))

Differentiating both sides with respect to 'x'

y'=d/dxcos^2(x^2))

y'=2cos(x^2)d/dx(cosx^2)

y'=2cos(x^2)(-sinx^2)d/dx(x^2)

y'=2cos(x^2)(-sinx^2)(2x)

y'=-4xcos(x^2)(sinx^2)