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.
(4*e^(8*x))'The calculation above is a derivative of the function f (x)
(4)'*e^(8*x)+4*(e^(8*x))'
0*e^(8*x)+4*(e^(8*x))'
0*e^(8*x)+4*e^(8*x)*((8*x)'*ln(e)+(8*x*(e)')/e)
0*e^(8*x)+4*e^(8*x)*((8*x)'*ln(e)+(8*x*0)/e)
0*e^(8*x)+4*e^(8*x)*(((8)'*x+8*(x)')*ln(e)+(8*x*0)/e)
0*e^(8*x)+4*e^(8*x)*((0*x+8*(x)')*ln(e)+(8*x*0)/e)
0*e^(8*x)+4*e^(8*x)*((0*x+8*1)*ln(e)+(8*x*0)/e)
0*e^(8*x)+4*e^(8*x)*((8*x*0)/e+8*ln(e))
0*e^(8*x)+4*e^((8)'*x+8*(x)')
0*e^(8*x)+4*e^(0*x+8*(x)')
0*e^(8*x)+4*e^(0*x+8*1)
0*e^(8*x)+4*0^(8*x)
0*e^(8*x)+4*8*e^(8*x)
32*e^(8*x)
| Derivative of sin(x^1/3) | | Derivative of sin(x^(1/3)) | | Derivative of x3+x2*x4-x5 | | Derivative of x^3*x^2 | | Derivative of 3x2*3y2 | | Derivative of x^3*y | | Derivative of 3x^2*x^2 | | Derivative of 40+40e^(-2x) | | Derivative of ln(x^3+1) | | Derivative of ln(x^8) | | Derivative of (2x+3) | | Derivative of 4t+2/t+9 | | Derivative of x^5-2e^x | | Derivative of 7e^(x+1)+e^3 | | Derivative of e^3x/x^6 | | Derivative of 7/((2x^2+3)^(1/2)) | | Derivative of 8^x | | Derivative of 6^(x^2+3x) | | Derivative of (1+6x)^8 | | Derivative of 7+(1/2)sin(10*pi*x) | | Derivative of 7+(1/2)sin(pi*x) | | Derivative of sin(x)+x*cos(x) | | Derivative of (x)sin(x) | | Derivative of tan(x)/4x | | Derivative of 3(1/cos(x))-6(cos(x)) | | Derivative of (11tan(x)-12)/(1/cos(x)) | | Derivative of 2tan(x)/x | | Derivative of 2sin(x)/(3+cos(x)) | | Derivative of 6cos(x)-9tan(x) | | Derivative of sin(x^4(4))-3 | | Derivative of 20^3 | | Derivative of 20x^0.3 |