How do you take the derivative of tan^2(4x)tan2(4x)? Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 1 Answer Michael Jul 2, 2015 (d[tan^2(4x)])/(dx)=8sec^2(4x)tan(4x)d[tan2(4x)]dx=8sec2(4x)tan(4x) Explanation: Use the chain rule: (d[tan^2(4x)])/(dx)=2sec^2(4x).tan(4x)xxd((4x))/dxd[tan2(4x)]dx=2sec2(4x).tan(4x)×d(4x)dx =2sec^2(4x).tan(4x)xx4=2sec2(4x).tan(4x)×4 =8sec^2(4x)tan(4x)=8sec2(4x)tan(4x) Answer link Related questions What is the derivative of y=cos(x)y=cos(x) ? What is the derivative of y=tan(x)y=tan(x) ? How do you find the 108th derivative of y=cos(x)y=cos(x) ? How do you find the derivative of y=cos(x)y=cos(x) from first principle? How do you find the derivative of y=cos(x^2)y=cos(x2) ? How do you find the derivative of y=e^x cos(x)y=excos(x) ? How do you find the derivative of y=x^cos(x)y=xcos(x)? How do you find the second derivative of y=cos(x^2)y=cos(x2) ? How do you find the 50th derivative of y=cos(x)y=cos(x) ? How do you find the derivative of y=cos(x^2)y=cos(x2) ? See all questions in Derivative Rules for y=cos(x) and y=tan(x) Impact of this question 11980 views around the world You can reuse this answer Creative Commons License