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.
((4*x)/(2*x+5))'The calculation above is a derivative of the function f (x)
((4*x)'*(2*x+5)-(4*x*(2*x+5)'))/((2*x+5)^2)
(((4)'*x+4*(x)')*(2*x+5)-(4*x*(2*x+5)'))/((2*x+5)^2)
((0*x+4*(x)')*(2*x+5)-(4*x*(2*x+5)'))/((2*x+5)^2)
((0*x+4*1)*(2*x+5)-(4*x*(2*x+5)'))/((2*x+5)^2)
(4*(2*x+5)-(4*x*(2*x+5)'))/((2*x+5)^2)
(4*(2*x+5)-(4*x*((2*x)'+(5)')))/((2*x+5)^2)
(4*(2*x+5)-(4*x*(2*(x)'+(2)'*x+(5)')))/((2*x+5)^2)
(4*(2*x+5)-(4*x*(2*(x)'+0*x+(5)')))/((2*x+5)^2)
(4*(2*x+5)-(4*x*(0*x+2*1+(5)')))/((2*x+5)^2)
(4*(2*x+5)-(4*x*(0+2)))/((2*x+5)^2)
(4*(2*x+5)-(4*x*2))/((2*x+5)^2)
(4*(2*x+5)-(8*x))/((2*x+5)^2)
| Derivative of 4/(5+2x) | | Derivative of 4/5+2x | | Derivative of (x^2+6x)e^x | | Derivative of (x^2-6x)e^x | | Derivative of e^(-2x)*((3x^2)-5x) | | Derivative of ln(((e^x)+1)/(e^(2x))) | | Derivative of e^(x+i*x^2)*(2*i*x+1) | | Derivative of e^(x+i*x^2) | | Derivative of e^(t+i*t^2) | | Derivative of (1+4x)^(1/2) | | Derivative of (1+4x)^1/2 | | Derivative of (5)^1/2 | | Derivative of ln(2x+5) | | Derivative of (1-sin(x))/(1+cos(2x)) | | Derivative of 2pi*sin((pi*x)/3) | | Derivative of (1/4)*cos(x/4) | | Derivative of (e^(5x))((3x^(2))-7) | | Derivative of e^(5x)(3x^(2)-7) | | Derivative of 3^(6x) | | Derivative of 4g-7(f+g) | | Derivative of 2B^3 | | Derivative of 2b | | Derivative of -cos(pi/4)x | | Derivative of 8ln(x)+(1/x^3) | | Derivative of 1.83333333333 | | Derivative of 2x^3-13x^2+16x+5 | | Derivative of 4e^-x^2 | | Derivative of (3x-1)/(5x+9) | | Derivative of 3x-1/5x+9 | | Derivative of ln(7x^2-2x+7) | | Derivative of 5*e^(2x) | | Derivative of x^9/10 |