Question

find derivative of y=sin(x)^tan(x)

Answer 1

\[y=\sin(x)^{\tan(x)}\]

Answer 2

logarithmic pls

Answer 3

tan(x)ln(sin(x))

Answer 4

product rule

Answer 5

ya thats the approach i took first but

Answer 6

ehehhehhehe

Answer 7

u can continue jhan

Answer 8

my teacher showed us how to do it a different way but i dont remember

Answer 9

Then go by what you know, not what your teacher has taught you, that's his method of solving it. when it comes to the test you're not trying to remember his methods but how you're most comfortable solving the problem in time

Answer 10

Haha :P

Answer 11

i entered it in on mathway and got a different answer

Answer 12

Well, what do you get when you use the product rule on \(\tan(x)\ln(\sin(x))\)?

Answer 13

tan(x)cot(x)+sec^2(x)ln(sin(x))

Answer 14

or something like that i think

Answer 15

then its y'/y=that

Answer 16

\[d(\tan(x)\ln(\sin(x))) = \sec^2(x)\cdot \ln(\sin(x)) +\frac{1}{\sin(x)}\cdot \cos(x) \cdot \tan(x) \]

Answer 17

Yeah, you're right.

Answer 18

but if you go on mathway and do it u get some really long crazy answer

Answer 19

that involves e

Answer 20

Hmm dunno.

Answer 21

theres one more problem i need help with ill create a new question