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.
(5*sin(x)+5)'The calculation above is a derivative of the function f (x)
(5*sin(x))'+(5)'
(5)'*sin(x)+5*(sin(x))'+(5)'
0*sin(x)+5*(sin(x))'+(5)'
0*sin(x)+5*cos(x)+(5)'
5*cos(x)+0
5*cos(x)
| Derivative of 9x^3-4x^2+8 | | Derivative of 3^0 | | Derivative of 1/(cos(3x)) | | Derivative of 1/cos(3x) | | Derivative of 2/((6e^x)-1) | | Derivative of x^7+7e^x | | Derivative of (1/5)*(x^5+1) | | Derivative of 4e^3+e+14 | | Derivative of x/(x+(1/x)) | | Derivative of 18x^(1/2) | | Derivative of (cos(12x))^6 | | Derivative of 6cos(12x) | | Derivative of (x+1)^-1 | | Derivative of (x+6)(3x+6) | | Derivative of 2*(-3)-5 | | Derivative of 60y^2-27y+3 | | Derivative of (x+6)^(1/2) | | Derivative of (u-u^(1/2))(u+u^(1/2)) | | Derivative of 8x^(-1/3) | | Derivative of 1/(x-6) | | Derivative of 1/x-6 | | Derivative of 5/3x | | Derivative of tan(3/2)x | | Derivative of ((1-3x)/(2-7x))^-5 | | Derivative of sin(tan(4x)) | | Derivative of 4x+(3/x) | | Derivative of x^2+3 | | Derivative of (5(1/cos(x)))+(4(1/tan(x))) | | Derivative of 6(x^2)*sin(x)+(10(x)(cos(x))) | | Derivative of 6(x^2)*sin(x) | | Derivative of 10x*cos(x) | | Derivative of x^3-3x^2-9x+10 |