Derivative of e^(cos(3x/2))

Derivative of e^(cos(3x/2)). Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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.

If it's not what You are looking for type in the derivative calculator your own function and let us solve it.

Derivative of e^(cos(3x/2)): 


(e^cos((3*x)/2))'

e^cos((3*x)/2)*((cos((3*x)/2))'*ln(e)+(cos((3*x)/2)*(e)')/e)

e^cos((3*x)/2)*((cos((3*x)/2))'*ln(e)+(cos((3*x)/2)*0)/e)

e^cos((3*x)/2)*((cos((3*x)/2)*0)/e-sin((3*x)/2)*((3*x)/2)'*ln(e))

e^cos((3*x)/2)*((cos((3*x)/2)*0)/e-sin((3*x)/2)*(((3*x)'*2-(3*x*(2)'))/(2^2))*ln(e))

e^cos((3*x)/2)*((cos((3*x)/2)*0)/e-sin((3*x)/2)*((((3)'*x+3*(x)')*2-(3*x*(2)'))/(2^2))*ln(e))

e^cos((3*x)/2)*((cos((3*x)/2)*0)/e-sin((3*x)/2)*(((0*x+3*(x)')*2-(3*x*(2)'))/(2^2))*ln(e))

e^cos((3*x)/2)*((cos((3*x)/2)*0)/e-sin((3*x)/2)*(((0*x+3*1)*2-(3*x*(2)'))/(2^2))*ln(e))

e^cos((3*x)/2)*((cos((3*x)/2)*0)/e-sin((3*x)/2)*((3*2-(3*x*(2)'))/(2^2))*ln(e))

e^cos((3*x)/2)*((cos((3*x)/2)*0)/e-sin((3*x)/2)*((3*2-(3*x*0))/(2^2))*ln(e))

e^cos((3*x)/2)*(3/2*(-sin((3*x)/2))*ln(e)+(cos((3*x)/2)*0)/e)

e^cos((3*x)/2)*((cos((3*x)/2)*0)/e-3/2*sin((3*x)/2)*ln(e))

e^(-sin((3*x)/2)*((3*x)/2)')

e^(-sin((3*x)/2)*(((3*x)'*2-(3*x*(2)'))/(2^2)))

e^(-sin((3*x)/2)*((((3)'*x+3*(x)')*2-(3*x*(2)'))/(2^2)))

e^(-sin((3*x)/2)*(((0*x+3*(x)')*2-(3*x*(2)'))/(2^2)))

e^(-sin((3*x)/2)*(((0*x+3*1)*2-(3*x*(2)'))/(2^2)))

e^(-sin((3*x)/2)*((3*2-(3*x*(2)'))/(2^2)))

e^(-sin((3*x)/2)*((3*2-(3*x*0))/(2^2)))

e^(3/2*(-sin((3*x)/2)))

0^cos((3*x)/2)

(-3/2)*e^cos((3*x)/2)*sin((3*x)/2)

The calculation above is a derivative of the function f (x)

See similar equations:

| Derivative of 128,000/x | | Derivative of Ln(3ln(2x)) | | Derivative of 100x-(x^2/10) | | Derivative of 4x-1 | | Derivative of 15*(x^2)*(e^(15x)) | | Derivative of 15x*(e^(15x)) | | Derivative of 2x*(e^(15x)) | | Derivative of sin(180-x) | | Derivative of (x^2)*(e^(15*x)) | | Derivative of 7sin(pi/10) | | Derivative of (x^2)*(e^(11*x)) | | Derivative of (e^(11*x)) | | Derivative of sin(11/x) | | Derivative of (16-X)/12 | | Derivative of 210sin(x) | | Derivative of 325e^(0.04p) | | Derivative of 210 | | Derivative of x/3.14 | | Derivative of (x^(9/2))*4*x^5 | | Derivative of (x^(11/2))/x^7 | | Derivative of ln(4*(x^3)) | | Derivative of 15e^(6(x^7)) | | Derivative of 15e^6x^7 | | Derivative of (25/24)-((25/24)(x^-2)) | | Derivative of 20sin(x^2) | | Derivative of 20sin(t^2) | | Derivative of 30x-1500 | | Derivative of 9-5sin(2x) | | Derivative of (4-x)y^2-x^3 | | Derivative of (25-x^2)^(-1/2) | | Derivative of 2cos(x)-3tan(x) | | Derivative of tan(6x)/sin(9x) |

Equations solver categories