What is the derivative of tan(3x+1)? Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 1 Answer ali ergin May 30, 2016 y'=3(1+tan^2(3x+1)) Explanation: y=tan(3x+1) "let 3x+1=u :" y=tan u y^'=u^'*(1+tan^2u) u^'=3 y'=3(1+tan^2(3x+1)) 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 5498 views around the world You can reuse this answer Creative Commons License