Below you can find the full step by step solution for you problem. We hope it will be very helpful for you and it will help you to understand the solving process.
((tan(3*x))^4)'The calculation above is a derivative of the function f (x)
4*(tan(3*x))^(4-1)*(tan(3*x))'
4*(tan(3*x))^(4-1)*((3*x)'/((cos(3*x))^2))
4*(tan(3*x))^(4-1)*(((3)'*x+3*(x)')/((cos(3*x))^2))
4*(tan(3*x))^(4-1)*((0*x+3*(x)')/((cos(3*x))^2))
4*(tan(3*x))^(4-1)*((0*x+3*1)/((cos(3*x))^2))
4*(tan(3*x))^(4-1)*(3/((cos(3*x))^2))
(12*(tan(3*x))^3)/((cos(3*x))^2)
| Derivative of 3e^5.5x | | Derivative of 3e^5.5^x | | Derivative of (10^(5x^(2))) | | Derivative of (4x-1)(2x-5)^(-1) | | Derivative of 10^5x^2 | | Derivative of (4t-1)(2t-5)^(-1) | | Derivative of (x^9)(e^9x) | | Derivative of 3x-27 | | Derivative of (2*x)/(x^2-16) | | Derivative of x^(1/18) | | Derivative of (4x^3-x)^10 | | Derivative of 3,75*x^1,333/x | | Derivative of 3,75*x^1,333/q | | Derivative of 3,75*x^1,333 | | Derivative of e^-0.05x | | Derivative of 2^sin(pi*x) | | Derivative of 11-3x/4 | | Derivative of 4(x) | | Derivative of (11-3x)/4 | | Derivative of 200e^(-x^2) | | Derivative of 200e^x | | Derivative of 3/y^4 | | Derivative of -3/y^4 | | Derivative of x^2*e^(-1/x) | | Derivative of tan(8x)^2 | | Derivative of 2cos(e^x) | | Derivative of (1/12)*pi | | Derivative of sin(8x)sin(8x)-3.14x | | Derivative of ((2)^(x))^(1/2) | | Derivative of 2^x^(1/2) | | Derivative of sin(5x)cos(12x) | | Derivative of 6e^(x/3) |