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.
((2*x-9)/(6*x+8))'The calculation above is a derivative of the function f (x)
((2*x-9)'*(6*x+8)-((2*x-9)*(6*x+8)'))/((6*x+8)^2)
(((2*x)'+(-9)')*(6*x+8)-((2*x-9)*(6*x+8)'))/((6*x+8)^2)
((2*(x)'+(2)'*x+(-9)')*(6*x+8)-((2*x-9)*(6*x+8)'))/((6*x+8)^2)
((2*(x)'+0*x+(-9)')*(6*x+8)-((2*x-9)*(6*x+8)'))/((6*x+8)^2)
((0*x+2*1+(-9)')*(6*x+8)-((2*x-9)*(6*x+8)'))/((6*x+8)^2)
((0+2)*(6*x+8)-((2*x-9)*(6*x+8)'))/((6*x+8)^2)
(2*(6*x+8)-((2*x-9)*(6*x+8)'))/((6*x+8)^2)
(2*(6*x+8)-((2*x-9)*((6*x)'+(8)')))/((6*x+8)^2)
(2*(6*x+8)-((2*x-9)*(6*(x)'+(6)'*x+(8)')))/((6*x+8)^2)
(2*(6*x+8)-((2*x-9)*(6*(x)'+0*x+(8)')))/((6*x+8)^2)
(2*(6*x+8)-((2*x-9)*(0*x+6*1+(8)')))/((6*x+8)^2)
(2*(6*x+8)-((2*x-9)*(0+6)))/((6*x+8)^2)
(2*(6*x+8)-((2*x-9)*6))/((6*x+8)^2)
(2*(6*x+8)-(6*(2*x-9)))/((6*x+8)^2)
| Derivative of 2x-9/6x+8 | | Derivative of 2x^3(3-x^3)^4 | | Derivative of x2+(3,14x3,14) | | Derivative of X2+3,14x3,14 | | Derivative of (5x)^2 | | Derivative of 5y^2 | | Derivative of X3-4x-15/x3+x2-6x-18 | | Derivative of X3-4x-15 | | Derivative of 4e^(-9t) | | Derivative of 6e^12x | | Derivative of 6e^(12x) | | Derivative of -9*sin(3*x) | | Derivative of (120/343)*(x+1)^(-19/7) | | Derivative of (-10/49)*(x+1)^(-12/7) | | Derivative of (2/7)*(x+1)^(-5/7) | | Derivative of (1+(x))^(2/7) | | Derivative of (8/27)*(x+1)^(-7/3) | | Derivative of (-2/9)*(x+1)^(-4/3) | | Derivative of (2/3)*(x+1)^(-1/3) | | Derivative of (1+(x))^(2/3) | | Derivative of (1+(x))^2/3 | | Derivative of -120*(x+2)^-6 | | Derivative of 24*(x+2)^-5 | | Derivative of -6*(x+2)^-4 | | Derivative of 2*(x+2)^-3 | | Derivative of -1/((x+2)^2) | | Derivative of 1/((x)+2) | | Derivative of ln(2+(x)) | | Derivative of (x+8)((50/x)+4) | | Derivative of -(1/x^2) | | Derivative of 2^(2x) | | Derivative of cos(x^2)+t |