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.
(cos(x/2))'The calculation above is a derivative of the function f (x)
-sin(x/2)*(x/2)'
-sin(x/2)*(((x)'*2-(x*(2)'))/(2^2))
-sin(x/2)*((1*2-(x*(2)'))/(2^2))
-sin(x/2)*((1*2-(x*0))/(2^2))
1/2*(-sin(x/2))
(-1/2)*sin(x/2)
| Derivative of (5x^2+2)(4x+8)/(6x-7) | | Derivative of ((x^3)-4x)((x^3)-4x) | | Derivative of ((x^3)-4x)^2 | | Derivative of ((x^3)-4x) | | Derivative of ((5x^2)-1)/((2x^3)+3) | | Derivative of 5cos(4x) | | Derivative of sin(4x)^2 | | Derivative of sin(5x)+1 | | Derivative of cos(4x)^6 | | Derivative of x/(x-1)^2 | | Derivative of a*cos(x) | | Derivative of b*sin(x) | | Derivative of 2*(1/cos(x)) | | Derivative of 2tan(t) | | Derivative of 7e^x+7 | | Derivative of 1/(x^6-5x) | | Derivative of (x^14-3)^3 | | Derivative of 2x^-7-(7/x) | | Derivative of (16/3)*(e^(0,5*sin(6*x)))^(-1) | | Derivative of ((1+2cos(2x))/2cos(x))^2 | | Derivative of 0.5(sin(6*x)) | | Derivative of 3*tan(2x) | | Derivative of 8sin(x^2) | | Derivative of 0.02x^2 | | Derivative of (x-1)^3 | | Derivative of (8x+5y)^2-(8x-5y)^2 | | Derivative of (x+(1/x))/(x-(1/x)) | | Derivative of (-3)(1/cos(2x+3)^1/2) | | Derivative of 6cos(1/2x) | | Derivative of 9sin((5x^7)-20) | | Derivative of (5x^2)(y^4)+(5x^3)+(y^3) | | Derivative of 5x^2y^4+5x^3+y^3 |