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.
(sin(2*x+pi/2))'The calculation above is a derivative of the function f (x)
cos(2*x+pi/2)*(2*x+pi/2)'
cos(2*x+pi/2)*((2*x)'+(pi/2)')
cos(2*x+pi/2)*(2*(x)'+(2)'*x+(pi/2)')
cos(2*x+pi/2)*(2*(x)'+0*x+(pi/2)')
cos(2*x+pi/2)*(0*x+(pi/2)'+2*1)
2*cos(2*x+pi/2)
2*cos(2*x+pi/2)
| Derivative of x^ln(x) | | Derivative of cos(x^7) | | Derivative of x^5+6/x | | Derivative of -3ln(6x) | | Derivative of (3x+5x^7)^5 | | Derivative of (2x+3)^3x-2 | | Derivative of (cos(x))^x+5 | | Derivative of (cos(x))^2-e | | Derivative of cos(x^2-e) | | Derivative of 16x | | Derivative of 3x^3+5x^2+10x | | Derivative of 1-sin((x^2-pi)/2) | | Derivative of 348sin(78x)+740 | | Derivative of y^2 | | Derivative of x^2(4-x)^(1/2) | | Derivative of x*cos(3x) | | Derivative of sin(7*x) | | Derivative of x*cos(3*x) | | Derivative of x*sin(3*x) | | Derivative of x*sin(3x) | | Derivative of (x^2-62)*e^x+2x*e^x | | Derivative of (x^2-62)*e^x | | Derivative of (x^2-64) | | Derivative of (x^2-64)*e^x | | Derivative of (x^3+2)/x^2 | | Derivative of (ln(ln(ln(x3)))) | | Derivative of sin(x-a) | | Derivative of -4e^-x | | Derivative of ln(x^2+y^2) | | Derivative of e^3+ln(4) | | Derivative of 3^(x^3+2x^2+4x) | | Derivative of e^(-x^2+4x-3) |