Question

Derivative of 2^(-1/x)

Answer 1

\( \color{Black}{\Rightarrow x^n \Rightarrow nx^{n - 1} }\)

Answer 2

This is how you find the derivative ^

Answer 3

that only works when x is base and exponent is constant

Answer 4

derivative of \(a^x = a^x\ln a\) if i remember right

Answer 5

how might I end up with the answer 2^(-1/x) ln2/x^2

Answer 6

like i said derivative of a^x = a^x ln a

here your a is 2 so it's

2^(-1/x) ln 2

but wait! you have to take the derivative of -1/x as well

Answer 7

derivative of -1/x = 1/x^2

Answer 8

so combining all of that you will get 2^(-1/x) ln 2 / x^2 got it?