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(x)-1)'The calculation above is a derivative of the function f (x)
(x*sin(x))'+(-1)'
(x)'*sin(x)+x*(sin(x))'+(-1)'
1*sin(x)+x*(sin(x))'+(-1)'
1*sin(x)+x*cos(x)+(-1)'
sin(x)+x*cos(x)+0
sin(x)+x*cos(x)
| Derivative of 1-cos(8x) | | Derivative of 11sin(4x-9) | | Derivative of (3ln(x^1/2))/x | | Derivative of 9/17e^x^5 | | Derivative of 1/9e^x^9 | | Derivative of 5/((cos(x))^2) | | Derivative of 7/((cos(x))^2) | | Derivative of 4*(x)^ln(x) | | Derivative of 5/x-4*x-2 | | Derivative of 4/(x)^3 | | Derivative of 5e^-1.6t | | Derivative of 5e^1.6t | | Derivative of 7x^-3 | | Derivative of 7y^-3 | | Derivative of e^(x^2-4)/(x-1) | | Derivative of sin(t)/cos(2t) | | Derivative of 4/3 | | Derivative of x0.3 | | Derivative of 5*cos(4*ln(x)) | | Derivative of 4*ln(2*x) | | Derivative of 300(e^(-0.05x)) | | Derivative of 6x/9-tan(x) | | Derivative of (X^1.25)*(ln(100x)) | | Derivative of (X^5/4)*(ln(100x)) | | Derivative of X^5/4(ln(100x)) | | Derivative of 5*(ln(x))^2 | | Derivative of 3e^-0.23X | | Derivative of (x^2)-8x-(80/x) | | Derivative of 140(1.02)^x | | Derivative of sin(45x) | | Derivative of 16e^-2x | | Derivative of 16e^-2t |