Question

Need Help to solve out this question. Find dy/dx: x= radical of tan (y^2).

Answer 1

Was it too hard to understand when we did it earlier? :c

Answer 2

that was wrong actually

Answer 3

It wasn't wrong. I even checked it on wolfram.
If you're not suppose to solve it implicitly, then you'll have an answer involving arctangents and such.

It will look much different than what we came up with, but still correct.

Answer 4

hmm but the answer I have from professor is \[(\sqrt{\tan(y)}/(y \sec ^{2}y)\]

Answer 5

so i am not really sure for how to get to this answer, I am really stuck my brain is not working these problems are very hard for me I have 4 more which I really need help with.

Answer 6

That's the exact answer I put in the post we were working on :( Did you just skip to the bottom i guess...?

Answer 7

I am sorry Zepdrix it was my fault, I am really confuse

Answer 8

This is the first time I am doing homework for Calculus and I am having tough time.

Answer 9

Oh your y's look a little different :D hmm.

Yah it's a really tough problem :C teacher is being mean lol

Answer 10

lolz

Answer 11

do you mind if you can teach me that problem again ??

Answer 12

So which part are you getting stuck on?
The problem gets really really messy later on.

But do you understand how to start the problem?
Taking the derivative of the `outermost function`.

Answer 13

I am really sorry but I need to admit this that I really dont understand frm beginning

Answer 14

lol XD

Answer 15

:)

Answer 16

We're differentiating this `implicitly`,
meaning that we're NOT solving the function explicitly for \(y\) before taking a derivative.

See the big pile of junk attached to the \(y\)?
It makes it a lot different than problems that you've maybe dealt with in the past.

Let's try an easier problem really quick.

Answer 17

ok :)

Answer 18

\[\large x=\left(y^3+1\right)^2\]Taking the derivative with respect to `x` gives us,\[\large 1=2(y^3+1)^1 \quad \color{royalblue}{(y^3+1)'}\]

Do you understand why we get a 1 on the left? :O

Answer 19

because if we take derivative of x it will give us 1

Answer 20

mhm c: true story.

Answer 21

yesss finally I got something right :D

Answer 22

On the right side, we start by taking the derivative of the `outermost function`, which in this case happens to be the square on the outside.

So we apply the power rule to that part, that's how the 2 comes down.

Answer 23

ahan yup

Answer 24

Then the chain rule tells us to do this.