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.
(5*tan(9*x))'The calculation above is a derivative of the function f (x)
(5)'*tan(9*x)+5*(tan(9*x))'
0*tan(9*x)+5*(tan(9*x))'
0*tan(9*x)+5*((9*x)'/((cos(9*x))^2))
0*tan(9*x)+5*(((9)'*x+9*(x)')/((cos(9*x))^2))
0*tan(9*x)+5*((0*x+9*(x)')/((cos(9*x))^2))
0*tan(9*x)+5*((0*x+9*1)/((cos(9*x))^2))
0*tan(9*x)+5*(9/((cos(9*x))^2))
45/((cos(9*x))^2)
| Derivative of 14x^2+10x-3/x^3+x^2 | | Derivative of 20cos(5t) | | Derivative of 20x^-3 | | Derivative of e^(x)(sin(2x)) | | Derivative of (5x^5-4x^4+4)^300 | | Derivative of ln((2x)^n) | | Derivative of ln(2x^n) | | Derivative of cos(4*t) | | Derivative of 72c^4-50d^4 | | Derivative of 2/(4e^x)-2 | | Derivative of 4e^4 | | Derivative of 4e^4+e+12 | | Derivative of 6ln(x)-8e^x | | Derivative of 1/(x+1) | | Derivative of sin(tan(5x)) | | Derivative of 4ln(6t) | | Derivative of (x+1)^(1/2) | | Derivative of (x+1)^1/2 | | Derivative of (x+1)^2/1 | | Derivative of (x+1)^-2 | | Derivative of (x^3+8)/(x-2) | | Derivative of (x^3+8)/(x_2) | | Derivative of 1/x^2 | | Derivative of e^(0.1*x) | | Derivative of 5sin(x)+5 | | Derivative of 9x^3-4x^2+8 | | Derivative of 3^0 | | Derivative of 1/(cos(3x)) | | Derivative of 1/cos(3x) | | Derivative of 2/((6e^x)-1) | | Derivative of x^7+7e^x | | Derivative of (1/5)*(x^5+1) |