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^(1/2)-4)/((x-6)^2))'The calculation above is a derivative of the function f (x)
((-x^(1/2)-4)'*(x-6)^2-((-x^(1/2)-4)*((x-6)^2)'))/(((x-6)^2)^2)
(((-x^(1/2))'+(-4)')*(x-6)^2-((-x^(1/2)-4)*((x-6)^2)'))/(((x-6)^2)^2)
(((1/2)*x^(1/2-1)*(x)'+(-4)')*(x-6)^2-((-x^(1/2)-4)*((x-6)^2)'))/(((x-6)^2)^2)
(((1/2)*x^(1/2-1)*1+(-4)')*(x-6)^2-((-x^(1/2)-4)*((x-6)^2)'))/(((x-6)^2)^2)
((0-1/2*x^(-1/2))*(x-6)^2-((-x^(1/2)-4)*((x-6)^2)'))/(((x-6)^2)^2)
(-1/2*x^(-1/2)*(x-6)^2-((-x^(1/2)-4)*((x-6)^2)'))/(((x-6)^2)^2)
(-1/2*x^(-1/2)*(x-6)^2-((-x^(1/2)-4)*2*(x-6)^(2-1)*(x-6)'))/(((x-6)^2)^2)
(-1/2*x^(-1/2)*(x-6)^2-((-x^(1/2)-4)*2*(x-6)^(2-1)*((x)'+(-6)')))/(((x-6)^2)^2)
(-1/2*x^(-1/2)*(x-6)^2-((-x^(1/2)-4)*2*(x-6)^(2-1)*((-6)'+1)))/(((x-6)^2)^2)
(-1/2*x^(-1/2)*(x-6)^2-((-x^(1/2)-4)*2*(x-6)^(2-1)*(0+1)))/(((x-6)^2)^2)
(-1/2*x^(-1/2)*(x-6)^2-((-x^(1/2)-4)*2*(x-6)^(2-1)*1))/(((x-6)^2)^2)
(-1/2*x^(-1/2)*(x-6)^2-((-x^(1/2)-4)*2*(x-6)))/(((x-6)^2)^2)
(2*(x^(1/2)+4)*(x-6)-((1/2)*x^(-1/2)*(x-6)^2))/((x-6)^4)
| Derivative of ln((9x-7)^4) | | Derivative of 2*(9-X^2)^(1/2) | | Derivative of (1-(x/24))^2 | | Derivative of (0.25*sin(5*x)) | | Derivative of x*4^x | | Derivative of 7z | | Derivative of 4g*4^1 | | Derivative of 7x^4(x^3-5) | | Derivative of 1/2*y^-1/2 | | Derivative of 1/2y^-0.5 | | Derivative of 1/y | | Derivative of sin(200x) | | Derivative of (8-x^3) | | Derivative of (x^3-8) | | Derivative of 6x^2-294 | | Derivative of cos(x)tan(x) | | Derivative of (5x)ln(8x)-5x | | Derivative of ln(1/sin(x)) | | Derivative of ln(15)e^x | | Derivative of 100e^0.1t | | Derivative of x/x^-1/2 | | Derivative of 1n1x | | Derivative of 1n6x | | Derivative of (ln(x)^2)-ln(x) | | Derivative of (2x-800)^1,5 | | Derivative of E^5ln(x) | | Derivative of 3(tan(2x)) | | Derivative of (x)cos(5x) | | Derivative of 6x^(-3/2) | | Derivative of 2x^-3/4 | | Derivative of 4t^-1 | | Derivative of (6x^2)(tan(x)) |