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.
(8*ln(2*ln(x)+6*x))'The calculation above is a derivative of the function f (x)
(8)'*ln(2*ln(x)+6*x)+8*(ln(2*ln(x)+6*x))'
0*ln(2*ln(x)+6*x)+8*(ln(2*ln(x)+6*x))'
0*ln(2*ln(x)+6*x)+8*(1/(2*ln(x)+6*x))*(2*ln(x)+6*x)'
0*ln(2*ln(x)+6*x)+8*(1/(2*ln(x)+6*x))*((2*ln(x))'+(6*x)')
0*ln(2*ln(x)+6*x)+8*(1/(2*ln(x)+6*x))*((2)'*ln(x)+2*(ln(x))'+(6*x)')
0*ln(2*ln(x)+6*x)+8*(1/(2*ln(x)+6*x))*(0*ln(x)+2*(ln(x))'+(6*x)')
0*ln(2*ln(x)+6*x)+8*(1/(2*ln(x)+6*x))*(0*ln(x)+(6*x)'+2*(1/x))
0*ln(2*ln(x)+6*x)+8*(1/(2*ln(x)+6*x))*(6*(x)'+(6)'*x+2/x)
0*ln(2*ln(x)+6*x)+8*(1/(2*ln(x)+6*x))*(6*(x)'+2/x+0*x)
0*ln(2*ln(x)+6*x)+8*(1/(2*ln(x)+6*x))*(2/x+0*x+6*1)
0*ln(2*ln(x)+6*x)+8*((2/x+6)/(2*ln(x)+6*x))
(8*(2/x+6))/(2*ln(x)+6*x)
| Derivative of 18p^5+24p^3-12p^6 | | Derivative of 6t^2 | | Derivative of 7sin(2t) | | Derivative of e^(-10x) | | Derivative of e^(-10t) | | Derivative of 420 | | Derivative of 6(sin(6x)) | | Derivative of 3x^(3x) | | Derivative of 5/8 | | Derivative of 800/1+7e^-0.2t | | Derivative of 4e^5x | | Derivative of cos(4x)^2 | | Derivative of 2e^(5x)+1 | | Derivative of (e^(2x)+2)/(2x+e^(2x)) | | Derivative of 2e^(x^3) | | Derivative of ln((2x-1)/(x-1)) | | Derivative of 1/(4-x^2) | | Derivative of 25+(5*tan(5x))^2 | | Derivative of 2sin(2x)^2 | | Derivative of 6ln(x)-3(ln(x))^2 | | Derivative of (cos(5x))^7 | | Derivative of -4/x | | Derivative of 4*ln(x) | | Derivative of y-20/x^2 | | Derivative of 50/x^3 | | Derivative of -50/x^2 | | Derivative of 50/x^2 | | Derivative of y-50/x^2 | | Derivative of x*y+50/x+20/y | | Derivative of 20/y | | Derivative of 1/t | | Derivative of ln(2+x-x^3) |