Question

help PLEASE !!1

Answer 1

NUMBER 74

Answer 2

@satellite73

Answer 3

\[\huge y=x^{\frac{5}{x}}\]?

Answer 4

yes

Answer 5

you have a choice
you can write what this actually is, i.e. \[\huge x^{\frac{5}{x}}=e^{\frac{5}{x}\ln(x)}\] and take the derivative of that one using the chain and product rule

Answer 6

question how did u get the left side

Answer 7

or, as your math teacher might say
"take the log"
get \[\ln(x^{\frac{5}{x}})=\frac{5}{x}\ln(x)\] then take the derivative of that, then multiply again by the original function
the work is identical

Answer 8

you mean how did i get the right hand side?

Answer 9

yes

Answer 10

im lost D:

Answer 11

the definition of \(b^x\) is \[\huge b^x=e^{x\ln(b)}\]

Answer 12

ok lets not do it that way if it confuses you, lets do it the math teacher way
do you have a math teacher?

Answer 13

yes her lectures are so confusing lol

Answer 14

ok so the idea is this
you know that the the derivative of \(\ln(x)\) is \(\frac{1}{x}\) right?

Answer 15

yes

Answer 16

and by the chain rule, the derivative of \[\ln(f(x))=\frac{f'(x)}{f(x)}\] yes?

Answer 17

yes

Answer 18

so you do this
you have a function you need to find the derivative of
you take the log of that function
then take the derivative of the log
then multiply by the original function at the end