Question

find dy/dx of y=tan^2(e^x)

Answer 1

Chain rule.

Answer 2

yep :)

Answer 3

do you know how to do chain rule @candiwonderland ?

Answer 4

It might help if you think of it like this: \([\tan(e^x)]^2\) in which case you do derivative of the outside times derivative of the inside: \(e^x\)

Answer 5

yeah but i dont know the deriv of tan^2

Answer 6

apply chain rule ! assume t=tant x
first find derivative of t^2 ie 2t

Answer 7

is it sec^2?

Answer 8

YES.

Answer 9

BUT, you have to start from the outside first. That's how the chain rule works. Derivative of the ousdie. and notice that tangent is squared.

Answer 10

now multiply with derivative of tan x to complete chain rule for tan^2 x

Answer 11

so its sex^2(e^x) x e^x

Answer 12

sec*

Answer 13

Close, but not quite. You have to take the derivative of outside of tangent first :)

Answer 14

check what I said above

Answer 15

assume t=tant x
first find derivative of t^2 ie 2t

Answer 16

now multiply with derivative of tan x to complete chain rule for tan^2 x

Answer 17

\([\tan(x)]^2\) where \(x=e^x\)

Answer 18

yep ^^

Answer 19

ohhhhhhh