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(2*x+pi/3))'The calculation above is a derivative of the function f (x)
(-4)'*sin(2*x+pi/3)-4*(sin(2*x+pi/3))'
0*sin(2*x+pi/3)-4*(sin(2*x+pi/3))'
0*sin(2*x+pi/3)-4*cos(2*x+pi/3)*(2*x+pi/3)'
0*sin(2*x+pi/3)-4*cos(2*x+pi/3)*((2*x)'+(pi/3)')
0*sin(2*x+pi/3)-4*cos(2*x+pi/3)*(2*(x)'+(2)'*x+(pi/3)')
0*sin(2*x+pi/3)-4*cos(2*x+pi/3)*(2*(x)'+0*x+(pi/3)')
0*sin(2*x+pi/3)-4*cos(2*x+pi/3)*(0*x+(pi/3)'+2*1)
0*sin(2*x+pi/3)-4*2*cos(2*x+pi/3)
-8*cos(2*x+pi/3)
| Derivative of 2cos(2x+pi/3) | | Derivative of cos(x)^4 | | Derivative of 4cos(x)+e^-x | | Derivative of (x^3+x^2+1)^8 | | Derivative of 12+7^3 | | Derivative of (-x^3)-cos(x) | | Derivative of (8x)(ln(6x))-8x | | Derivative of 5(x^2)e^3x | | Derivative of -4*x^-3 | | Derivative of -4/x^3 | | Derivative of x^0.5(tan(x^0.5))^3 | | Derivative of 5x^2tan(2x) | | Derivative of ln(9x^7+4x)^8/5 | | Derivative of e^3t | | Derivative of (3e^4x+cos(5x)^2)^6 | | Derivative of sin(x^5)*tan(x^4) | | Derivative of ln(4x^4+5x)^9/5 | | Derivative of 1-cos(2*x) | | Derivative of x^2+(364x-1) | | Derivative of -x^3+12x^2-36x+39 | | Derivative of 25x^(1/5) | | Derivative of 8sin(1/4x+pi/6) | | Derivative of 2cos(1/4+pi/6) | | Derivative of ln(6x^6+5x)^9/5 | | Derivative of e^x^(3-6) | | Derivative of 16k-24 | | Derivative of (x^2)ln(x) | | Derivative of (4x-1)/(4x+1) | | Derivative of 4cos(4x)/sin(4x) | | Derivative of ln(sin(4x)) | | Derivative of ln(7x^10(5x^16)^(1/5)) | | Derivative of 9*(-sin(9*x)) |