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+2)/(x^2+3))'The calculation above is a derivative of the function f (x)
((x+2)'*(x^2+3)-((x+2)*(x^2+3)'))/((x^2+3)^2)
(((x)'+(2)')*(x^2+3)-((x+2)*(x^2+3)'))/((x^2+3)^2)
(((2)'+1)*(x^2+3)-((x+2)*(x^2+3)'))/((x^2+3)^2)
((0+1)*(x^2+3)-((x+2)*(x^2+3)'))/((x^2+3)^2)
(1*(x^2+3)-((x+2)*(x^2+3)'))/((x^2+3)^2)
(1*(x^2+3)-((x+2)*((x^2)'+(3)')))/((x^2+3)^2)
(1*(x^2+3)-((x+2)*(2*x^(2-1)+(3)')))/((x^2+3)^2)
(1*(x^2+3)-((x+2)*(2*x+0)))/((x^2+3)^2)
(1*(x^2+3)-((x+2)*2*x))/((x^2+3)^2)
(x^2-(2*x*(x+2))+3)/((x^2+3)^2)
| Derivative of (e^x*sin(5*x)) | | Derivative of (e^s)*sin(5s) | | Derivative of (3sin(-5t)) | | Derivative of 3sin(-5t) | | Derivative of 2ln(9r) | | Derivative of (5x^3+9x^2-5x+5) | | Derivative of (9cos(4x)) | | Derivative of 5/(sin(x)) | | Derivative of ln(3x^2) | | Derivative of (x/2)-(ln(x)) | | Derivative of (1/2)-(ln(x)) | | Derivative of 1/2-ln(x) | | Derivative of ln(h) | | Derivative of sin(h) | | Derivative of (1/2)sin(h) | | Derivative of 1/2sin(h)(x/3) | | Derivative of (1/2)sin(x) | | Derivative of (1/2)cos(x) | | Derivative of 1/2sin(h) | | Derivative of 1/2sin(h)x/3 | | Derivative of 100(e^-0.5x) | | Derivative of 4x^3tan(8x) | | Derivative of 6x^3sin(2x) | | Derivative of 7x^2cos(-5x) | | Derivative of sin(-4x) | | Derivative of -8tan(-x) | | Derivative of 4cos(-3x) | | Derivative of 2sin(3x)cos(4x) | | Derivative of 234/2 | | Derivative of (5000x^2)-61x | | Derivative of 234x/2x | | Derivative of ln(6x^2-3) |