SOLUTION: This is a differentiation problem. If you can help, thank you. f(x)=1/2(e^x+e^-x. Find f'(x)and f''(x)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: This is a differentiation problem. If you can help, thank you. f(x)=1/2(e^x+e^-x. Find f'(x)and f''(x)       Log On


   

Question 417471: This is a differentiation problem. If you can help, thank you.
f(x)=1/2(e^x+e^-x. Find f'(x)and f''(x)

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=e^x/2+1/2e^x; f'(x)=e^x/2-e^x/2e^2x and f''(x)=e^x/2-1/2[e^x2e^2x-e^2x(e^x)]/e^4x=e^x/2-e^3x/2e^4x.