Question

Chain rule with e^(x^2)

Answer 1

e(x^2)*2x

Answer 2

how did you do it :) ?

Answer 3

derivative of outside times derivative of inside

Answer 4

f'(g(x)*g'(x)

Answer 5

i just dont get it ... what is the outside and what the inside part here ... and how do i figure that out?

Answer 6

e^x's derivative is just e^x so e^(x^2)'s derivative is just e^(x^2) then you multiply that by the derivative of x^2 which is 2x

Answer 7

usually just consider the numbers in the parenthesis as the inside when looking at this function (x+2)^3's derivative would be 3(x+2)^2*1

Answer 8

so it would actually be written "(e^x)^2" ? ... which would make "e^x" the inner function?

Answer 9

the (x^2) would be the innermost function.

Answer 10

You have to deal with both e^x^2 function and the x^2 function.

Answer 11

And according to the chain rule, you multiply both derivatives together. Is this clear?

Answer 12

x^2 is the inner function but it doesnt matter

Answer 13

now it is ... thank you soooo much. i really really do appreciate it. i have been pondering over this for over an hour by now.

Answer 14

you can do derivative of inside times outside or vice versa. Its more on how you define f and g

Answer 15

try to see if you can distinguish in many problems the outside and inside then you are all set if you can do that because derivatives are easy from there if you know the rules and how to apply them

Answer 16

Haha, Saif, without a graphing calc, your problem is difficult. Off topic, I've narrowed f'(θ) to -sin(θ) + sin(2θ) = 0 if you can take it from there.

Answer 17

yea i got it, we arent aloud to use graphing calculators

Answer 18

its 0 and 2pi

Answer 19

oopps, I meant -2sin(θ) + sin(2θ) = 0

Answer 20

Oh nice. Good.

Answer 21

thanks i gotta get ready, please fan me if i helped

Answer 22

sorry ... gotta ask once again. how do you know "x^2" is the inner function here?

Answer 23

its e raised to a parenthesis e^x is the first function and x=x^2

Answer 24

you have to learn to distinguish between your inside and outside functions

Answer 25

It is the innermost function because it is the one closest to x. You cannot not differentiate further.

Answer 26

i really gotta get ready for class so see if IPARKE can help you

Answer 27

thank you thank you thank you ... big help :)