How do you differentiate y = cos^2 (x^2)? Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 1 Answer Anees 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) Answer link Related questions What is the derivative of y=cos(x) ? What is the derivative of y=tan(x) ? How do you find the 108th derivative of y=cos(x) ? How do you find the derivative of y=cos(x) from first principle? How do you find the derivative of y=cos(x^2) ? How do you find the derivative of y=e^x cos(x) ? How do you find the derivative of y=x^cos(x)? How do you find the second derivative of y=cos(x^2) ? How do you find the 50th derivative of y=cos(x) ? How do you find the derivative of y=cos(x^2) ? See all questions in Derivative Rules for y=cos(x) and y=tan(x) Impact of this question 21682 views around the world You can reuse this answer Creative Commons License