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.
(6*sin(6*x))'The calculation above is a derivative of the function f (x)
(6)'*sin(6*x)+6*(sin(6*x))'
0*sin(6*x)+6*(sin(6*x))'
0*sin(6*x)+6*cos(6*x)*(6*x)'
0*sin(6*x)+6*cos(6*x)*((6)'*x+6*(x)')
0*sin(6*x)+6*cos(6*x)*(0*x+6*(x)')
0*sin(6*x)+6*cos(6*x)*(0*x+6*1)
0*sin(6*x)+6*6*cos(6*x)
36*cos(6*x)
| Derivative of e^ln(x) | | Derivative of (x^2)-2x | | Derivative of (-8x)/((5-4x)^(1/2)) | | Derivative of 7ln(x) | | Derivative of 10/((x+1)((x^2+9)^2)) | | Derivative of x+10^2 | | Derivative of -7x^7 | | Derivative of (x^7-9x^6+4)/x^5 | | Derivative of -5sin(sin(x)) | | Derivative of cos(tan(x)) | | Derivative of sin(x)tan(x) | | Derivative of 5cos(x^2) | | Derivative of 4cos(4x+6) | | Derivative of 2x^3e^x | | Derivative of ((8*x^4)+5)^3 | | Derivative of (e^x*(x+1)-e^x)/((x+1)^2) | | Derivative of sin(5x^2) | | Derivative of (e^x)/(x+1) | | Derivative of 1/((t+1)^2) | | Derivative of 1/((1-x)^2) | | Derivative of 5x-0.02x^2 | | Derivative of 4.6x-0.01x^2 | | Derivative of 9e^-0.7x | | Derivative of ln(e^x^2) | | Derivative of e^(x)ln(x) | | Derivative of 15x^2-13x+5 | | Derivative of x^3(60-x) | | Derivative of tan(X)/tan(5x) | | Derivative of tan(9x) | | Derivative of (x^3)*(3x+2)^4 | | Derivative of x/1-x2 | | Derivative of 7x-77x+77 |