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.
(ln(3000*x))'The calculation above is a derivative of the function f (x)
(1/(3000*x))*(3000*x)'
(1/(3000*x))*((3000)'*x+3000*(x)')
(1/(3000*x))*(0*x+3000*(x)')
(1/(3000*x))*(0*x+3000*1)
x^-1
| Derivative of ln(3000) | | Derivative of x^3*(2x-3)^5 | | Derivative of x^3*(2x-5)^5 | | Derivative of -(cos(x))^3 | | Derivative of (sin(x))^-6 | | Derivative of (72/x) | | Derivative of -7sin(pi-3x) | | Derivative of 47x-(x^2/500) | | Derivative of 74x-(x^2/100) | | Derivative of (108/x) | | Derivative of (2-3x) | | Derivative of (7x)^(1/2) | | Derivative of 5tan(3x)-5 | | Derivative of sin(5x-7) | | Derivative of ln(e^(pi*x)) | | Derivative of ln(e^pi*x) | | Derivative of 3pi^e | | Derivative of 10-ln(x) | | Derivative of 128/x^2 | | Derivative of -(6/x^2) | | Derivative of 300-x/300 | | Derivative of sin(2x)/cos(6x) | | Derivative of ln(-1-1/2m) | | Derivative of 3e^6-x | | Derivative of 20e^x | | Derivative of 2(tan(x)) | | Derivative of 1.22 | | Derivative of -5e^6x | | Derivative of 5cos(t)-sin(3t) | | Derivative of (25-x)/4 | | Derivative of 4cos(10x) | | Derivative of 25(1.37)^2x |