What is the derivative of f(x) = 2 tan^(2)x-sec^(2)x? Calculus Differentiating Trigonometric Functions Derivatives of y=sec(x), y=cot(x), y= csc(x) 1 Answer Sasha P. Sep 18, 2016 2secx(2secx-tanx) Explanation: (df)/dx=d/dx(2tan^2x-sec^2x)=2d/dx(tan^2x)-d/dx(sec^2x)= 4d/dx(tanx)-2d/dx(secx)=4sec^2x-2secxtanx= =2secx(2secx-tanx) Answer link Related questions What is Derivatives of y=sec(x) ? What is the Derivative of y=sec(x^2)? What is the Derivative of y=x sec(kx)? What is the Derivative of y=sec ^ 2(x)? What is the derivative of y=4 sec ^2(x)? What is the derivative of y=ln(sec(x)+tan(x))? What is the derivative of y=sec^2(x)? What is the derivative of y=sec^2(x) + tan^2(x)? What is the derivative of y=sec^3(x)? What is the derivative of y=sec(x) tan(x)? See all questions in Derivatives of y=sec(x), y=cot(x), y= csc(x) Impact of this question 4927 views around the world You can reuse this answer Creative Commons License