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.
(x*sin(3*x))'The calculation above is a derivative of the function f (x)
(x)'*sin(3*x)+x*(sin(3*x))'
1*sin(3*x)+x*(sin(3*x))'
1*sin(3*x)+x*cos(3*x)*(3*x)'
1*sin(3*x)+x*cos(3*x)*((3)'*x+3*(x)')
1*sin(3*x)+x*cos(3*x)*(0*x+3*(x)')
1*sin(3*x)+x*cos(3*x)*(0*x+3*1)
1*sin(3*x)+x*3*cos(3*x)
sin(3*x)+3*x*cos(3*x)
| Derivative of 2(x)*sin(2x) | | Derivative of 5/6 | | Derivative of 5x-12+12x-x^3 | | Derivative of 1/2cos(2x) | | Derivative of ln(e^15x) | | Derivative of Ln(x-2) | | Derivative of (e^(8x)/8) | | Derivative of e^8x | | Derivative of 8e^x-x | | Derivative of sin(2x)+cos(2x) | | Derivative of 8e^2x | | Derivative of Sin(x^2)(7x) | | Derivative of 1+4m+5m^2+2m^3 | | Derivative of 6X5-8X2+X2/6 | | Derivative of x^2/x^2-4 | | Derivative of x^2/(x^2-4) | | Derivative of ln(x+(1+x^2)^(1/2)) | | Derivative of 3e^4t^3 | | Derivative of 32/l | | Derivative of 32/l2 | | Derivative of (8ln(x))/x^8 | | Derivative of (e^(8x))/8 | | Derivative of e^(8x) | | Derivative of (4e)^x | | Derivative of e^-x^2 | | Derivative of 1/2+x3/8 | | Derivative of (200)-(x/15) | | Derivative of (24)/(x^2+12) | | Derivative of 7cos(3x) | | Derivative of (3)(3ln(x)) | | Derivative of (x^-3)^0.5 | | Derivative of x^1.5 |