Derivative of e^(x8/8)

Derivative of e^(x8/8). 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.

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^(x8/8):


(e^((x^8)/8))'

e^((x^8)/8)*(((x^8)/8)'*ln(e)+(((x^8)/8)*(e)')/e)

e^((x^8)/8)*(((x^8)/8)'*ln(e)+(((x^8)/8)*0)/e)

e^((x^8)/8)*((((x^8)'*8-(x^8*(8)'))/(8^2))*ln(e)+(((x^8)/8)*0)/e)

e^((x^8)/8)*(((8*x^(8-1)*8-(x^8*(8)'))/(8^2))*ln(e)+(((x^8)/8)*0)/e)

e^((x^8)/8)*(((8*x^7*8-(x^8*(8)'))/(8^2))*ln(e)+(((x^8)/8)*0)/e)

e^((x^8)/8)*(((8*x^7*8-(x^8*0))/(8^2))*ln(e)+(((x^8)/8)*0)/e)

e^((x^8)/8)*(x^7*ln(e)+(((x^8)/8)*0)/e)

e^(((x^8)'*8-(x^8*(8)'))/(8^2))

e^((8*x^(8-1)*8-(x^8*(8)'))/(8^2))

e^((8*x^7*8-(x^8*(8)'))/(8^2))

e^((8*x^7*8-(x^8*0))/(8^2))

0^((x^8)/8)

x^7*e^((x^8)/8)

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

You can always share this solution

See similar equations:

| Derivative of 2sin(x^1/2) | | Derivative of -12sin(6x-18) | | Derivative of 2cos(6x-18) | | Derivative of 9ln(15/x) | | Derivative of -(5x-25)^(1/3) | | Derivative of tan(e^(-14x)) | | Derivative of e^7x^2 | | Derivative of e^(14*t) | | Derivative of -(-5y-12) | | Derivative of 7e^(-9x) | | Derivative of 2cos(9x)sin(6y) | | Derivative of ln((3x-4)^3) | | Derivative of 2ln(-2x/3) | | Derivative of 3x-5/(10-7x) | | Derivative of 3x-5/10-7x | | Derivative of -8sin(8x) | | Derivative of 40sin(30x) | | Derivative of 40*sin(30*t) | | Derivative of 40sin(30t) | | Derivative of -1/4cos(4x) | | Derivative of sin(x)^3cos(x)^7 | | Derivative of 100(1-e^(-0.3x)) | | Derivative of x^4cos(3x) | | Derivative of x^5(2-x)^6 | | Derivative of sin(4-5x) | | Derivative of (6x)ln(9x)-(6x) | | Derivative of 9ln(sin(x)) | | Derivative of y^3cos(x) | | Derivative of -(9cos(4x)) | | Derivative of ln(x^7-1) | | Derivative of 5-9/x | | Derivative of e9x | | Derivative of 2*a*e^(2*x) | | Derivative of 10*e^-1000x | | Derivative of a*e^(2*x) | | Derivative of e^(2-(x^2)) | | Derivative of e^(2-(t^2)) | | Derivative of (16x-7)^13 | | Derivative of x^9cos(x) | | Derivative of 20e^-0,03x | | Derivative of 4cos(t)^2 | | Derivative of 4-e^x | | Derivative of 26000(0.91)^x | | Derivative of ln(10x)/ln(10) | | Derivative of x*e^(-x^5) | | Derivative of 125(1.45)^x | | Derivative of 60/x-3 | | Derivative of e^(2*x)/(x^3) | | Derivative of 3t^4*ln(2t) | | Derivative of 5^(100x) | | Derivative of X^2cos(45) | | Derivative of 10-8ln(x) | | Derivative of X*e^(-0.015x) | | Derivative of e^(-0.015x) | | Derivative of 1/8z | | Derivative of 48/y | | Derivative of 2tan(x)^2 | | Derivative of 2cos(x)/x^2 | | Derivative of 16-10t | | Derivative of Sin(31,4) | | Derivative of X^3e^y | | Derivative of X^3e^4y | | Derivative of 1/x^2-16 | | Derivative of tan(2pi/3) | | Derivative of ln(250-x) |