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.
(625*sin(5*x+pi/4))'The calculation above is a derivative of the function f (x)
(625)'*sin(5*x+pi/4)+625*(sin(5*x+pi/4))'
0*sin(5*x+pi/4)+625*(sin(5*x+pi/4))'
0*sin(5*x+pi/4)+625*cos(5*x+pi/4)*(5*x+pi/4)'
0*sin(5*x+pi/4)+625*cos(5*x+pi/4)*((5*x)'+(pi/4)')
0*sin(5*x+pi/4)+625*cos(5*x+pi/4)*(5*(x)'+(5)'*x+(pi/4)')
0*sin(5*x+pi/4)+625*cos(5*x+pi/4)*(5*(x)'+0*x+(pi/4)')
0*sin(5*x+pi/4)+625*cos(5*x+pi/4)*(0*x+(pi/4)'+5*1)
0*sin(5*x+pi/4)+625*5*cos(5*x+pi/4)
3125*cos(5*x+pi/4)
| Derivative of -125*cos(5*x+pi/4) | | Derivative of -25*sin(5*x+pi/4) | | Derivative of 5*cos(5x+pi/4) | | Derivative of 9/8x+5 | | Derivative of 6-4/7x | | Derivative of 6-(4/7)x | | Derivative of (n^2+6n+5)/(n+1) | | Derivative of Sin(2*pi*x) | | Derivative of x^(3/4)-2x^(1/4) | | Derivative of x^3/4-2x^1/4 | | Derivative of (8-x) | | Derivative of (8+x) | | Derivative of (x-0.6)^5x^6 | | Derivative of x/20 | | Derivative of (e^x)/(2x+5) | | Derivative of 6tan(4x+6) | | Derivative of sin(3x^2+7x+4) | | Derivative of sin(3x2+7x+4) | | Derivative of -4cos(x) | | Derivative of 3*tan(3.14*x) | | Derivative of 3*tan(pi*x) | | Derivative of 3*tan(pi-x) | | Derivative of 0.8cos(4.7t+pi/4) | | Derivative of x^3-6x^2+9x+2 | | Derivative of 2x^4X | | Derivative of 0.21x^4-5.98x^3+50.02x^2-18.31x | | Derivative of (2000t)/(4t-75) | | Derivative of (28+6t)^1/2 | | Derivative of (28+6t)^-1/2 | | Derivative of x^2(5+x)^-6 | | Derivative of (x^2)/((5+x)^6) | | Derivative of ((2x+5)/(3x-1))^-3 |