Question

finding the slope of the tangent with e^9 in it??

Answer 1

i got 8e^9..but how would i write that in exact decimal form?

Answer 2

you don't have to

Answer 3

i put 8e^(9)x , and also e^(9)x.. but it says its wrong! :(

Answer 4

Hmm I came up with something very different for the slope at e^9..

Answer 5

You're doing implicit differentiation?

Answer 6

i just found the derivative andpluged in (1, e^9) for x and y

Answer 7

first, just get the general tangent formula for the equation you were given.
it's implicitly done
then evaluate it at the point you were given

Answer 8

Did you remember to apply the `product rule` to the middle term?

Answer 9

Yes, that's a good approach skull, let's make sure your derivative is correct though :)

Answer 10

i got ((9x-1)y)/x for the derivative

Answer 11

\[(9x-1)y/1\]

Answer 12

can you show us all the steps?

Answer 13

ln(xy) = 9x

e^[ln(xy)] = e^(9x)

xy = e^(9x)

y = [e^(9x)] / x

y' = [e^(9x) * (9x - 1)] / (x^2)

y'(x = 1) = [e^(9*1) * (9*1 - 1)] / (1^2) = 8*e^9

Answer 14

@nincompoop

Answer 15

nvm it was asking for the equation! :)