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.
(3*x*ln(5*x))'The calculation above is a derivative of the function f (x)
(3*x)'*ln(5*x)+3*x*(ln(5*x))'
((3)'*x+3*(x)')*ln(5*x)+3*x*(ln(5*x))'
(0*x+3*(x)')*ln(5*x)+3*x*(ln(5*x))'
(0*x+3*1)*ln(5*x)+3*x*(ln(5*x))'
3*ln(5*x)+3*x*(ln(5*x))'
3*ln(5*x)+3*x*(1/(5*x))*(5*x)'
3*ln(5*x)+3*x*(1/(5*x))*((5)'*x+5*(x)')
3*ln(5*x)+3*x*(1/(5*x))*(0*x+5*(x)')
3*ln(5*x)+3*x*(1/(5*x))*(0*x+5*1)
3*ln(5*x)+3*x*x^-1
3*ln(5*x)+3
| Derivative of 10ln(3x) | | Derivative of -46656sin(6x) | | Derivative of 7776cos(6x) | | Derivative of (5.092958179)/(r^2) | | Derivative of 2sin(2X^3) | | Derivative of 70y | | Derivative of 6-2/3t | | Derivative of 10sin(20) | | Derivative of 40e^-0.2x | | Derivative of (x^2)(ln(5)) | | Derivative of sin(x)/1-x | | Derivative of Ln(sin(5x))^x | | Derivative of 40(1.5^x)-40 | | Derivative of 5e^(-x)*sin(2x) | | Derivative of e^(0*x) | | Derivative of e^1/2x | | Derivative of e^(2x)^2 | | Derivative of -3sin(x-(pi/4)) | | Derivative of 255*e^x | | Derivative of (cos(200*pi*t)) | | Derivative of e^(4r)^(2) | | Derivative of 20(1/2)^(x/140) | | Derivative of 2/3x*((2x)^(1/2)) | | Derivative of 2/3x*(2x)^0.5 | | Derivative of 2/3x*(2x)^(1/2) | | Derivative of 2/3x*(2x)^1/2 | | Derivative of e^(2pi) | | Derivative of 4*cos(2*10) | | Derivative of x^(2/3)-x^(-1/4) | | Derivative of (e^-x)/x | | Derivative of 900x^(1/3) | | Derivative of e^(3cos(2x)) |