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.
(sin(-x)*cos(-x))'The calculation above is a derivative of the function f (x)
(sin(-x))'*cos(-x)+sin(-x)*(cos(-x))'
cos(-x)*cos(-x)+sin(-x)*(cos(-x))'
cos(-x)*cos(-x)+sin(-x)*(-sin(-x))
(cos(-x))^2-(sin(-x))^2
| Derivative of ln(1/(6x-5)^6) | | Derivative of 5tan(x^-1) | | Derivative of 5x*sin(x) | | Derivative of cos(7x-3) | | Derivative of 2cos(pi/4*x) | | Derivative of (3x^2-4)*(2x-5x^2) | | Derivative of -3cos(-2x-3) | | Derivative of 40ln(x) | | Derivative of (1/40)ln(x) | | Derivative of (2)/x^3 | | Derivative of 2/t^3 | | Derivative of ln(3*(x^3)-(x^2)) | | Derivative of (9x)ln(2x)-9x | | Derivative of 9*cos(x) | | Derivative of ln(5e^2x^3) | | Derivative of x5/3 | | Derivative of 20x^2/3 | | Derivative of (3x)ln(x) | | Derivative of 7t^(4)ln(6t) | | Derivative of 72e^x | | Derivative of (ln(25*sin(x^2))) | | Derivative of 2x^-1/2 | | Derivative of 3x^-5/2 | | Derivative of (128/x^2) | | Derivative of 4x^-1/2 | | Derivative of 9x^-5/2 | | Derivative of x^4/20 | | Derivative of 4e^-0.5x | | Derivative of e^(3tan(x^(1/2))) | | Derivative of 50e^1.39x | | Derivative of (6-7x)^4 | | Derivative of sin(2*pi/x) |