Question

what are the first and second derivatives of e^(5x) and e^(-x)?

Answer 1

\[d/dx (e^x) = e^x\]
Just remember the chain rule.

Answer 2

so would i get 5e^4x or e^5x?

Answer 3

Well the derivative of e^5x is e^5x, but you ALSO have to differentiate 5x (chain rule). You'd have 5e^(5x) as the first derivative.

Answer 4

then it will be 25e^(5x)?

Answer 5

You got it.

Answer 6

for the second der.

Answer 7

then it will be -e^-x and then e^-x

Answer 8

Correctemundo.

Answer 9

got to get it right so i can do the Wronski stuff. yay!

Answer 10

wronskian*