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.
(4*sin(3*x+5))'The calculation above is a derivative of the function f (x)
(4)'*sin(3*x+5)+4*(sin(3*x+5))'
0*sin(3*x+5)+4*(sin(3*x+5))'
0*sin(3*x+5)+4*cos(3*x+5)*(3*x+5)'
0*sin(3*x+5)+4*cos(3*x+5)*((3*x)'+(5)')
0*sin(3*x+5)+4*cos(3*x+5)*(3*(x)'+(3)'*x+(5)')
0*sin(3*x+5)+4*cos(3*x+5)*(3*(x)'+0*x+(5)')
0*sin(3*x+5)+4*cos(3*x+5)*(0*x+3*1+(5)')
0*sin(3*x+5)+4*(0+3)*cos(3*x+5)
0*sin(3*x+5)+4*3*cos(3*x+5)
12*cos(3*x+5)
| Derivative of (sin(x/2)) | | Derivative of (x^2)/(x^2-9) | | Derivative of ctg(x^2) | | Derivative of 2ctg(x^2) | | Derivative of (4x-9)/(9x+8) | | Derivative of (cos(x))^0.5 | | Derivative of (cos(x))^1/2 | | Derivative of 3(x^2)(cos(2x))^4 | | Derivative of e^(x)(sin(x)-cos(x)) | | Derivative of ln((9+e^x)/(9-e^x)) | | Derivative of -4sin(x)+x^2 | | Derivative of -4sin(x) | | Derivative of e^x*ln(x^5) | | Derivative of 2(cos(x))^2 | | Derivative of ln((x^(9)-7)/x) | | Derivative of 8sin(1/2x) | | Derivative of (ln(x))/x^(9) | | Derivative of 2cos(7x) | | Derivative of x^(3)ln(8x) | | Derivative of e^(x^(2)+5x) | | Derivative of x^(7)*e^(6x) | | Derivative of (16/33)e^(x^(8)) | | Derivative of ((9*x^(1/3))/14)*(x^2-7) | | Derivative of 1/3x | | Derivative of 8ln(x^7-x^4) | | Derivative of x2+6x-40 | | Derivative of 4e^9x | | Derivative of x*(1/sin(x)) | | Derivative of x*(13-2x)*(23-2x) | | Derivative of 6cos(2x)-6sin(3x) | | Derivative of 3sin(2x)+2cos(3x) | | Derivative of 51*cos(17*x+2) |