💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!



Numerade Educator



Problem 1 Easy Difficulty

(a) Find $ y' $ by implicit differentiation.
(b) Solve the equation explicitly for y and differentiate to get $ y' $ in terms of $ x. $
(c) Check that your solutions to part (a) and (b) are consistent by substituting the expression for $ y $ into your solution for part (a).

$ 9 x^2 - y^2 = 1 $


a. $\frac{9 x}{y}$
b. $\pm \frac{9 x}{\sqrt{9 x^{2}-1}}$
c. From part $(a), y^{\prime}=\frac{9 x}{y}=\frac{9 x}{\pm \sqrt{9 x^{2}-1}},$ which agrees with part

More Answers


You must be signed in to discuss.

Video Transcript

in this problem, we're gonna function Nynex. Carmine. It's what? Scared before in part, they were asked to wonder little while using a appreciation so listed unless I give it to a whole new respect X first, I would give us 80 nights minus two. Why? Don't forget Wiesel's function. So he had defied Yes, and one of just a custom so bright inside is Europe. From this we see that divine the X Is he confident? 80 nights invited too. But why? And from the sweet by and inherited two people 29 ex The one I want the wind partly whereas too explicit defying a buncha y And detective, uh, we know that once very busy Code 29 x squared minds form so from the species that y is equal to plus minus nine expert minus y straight route. Now let's take care of this. My plan is any good to plus minus. Uh, there recalled the older puncture which is or over two square root of nine experiments. One month supply. This by Derek took inner function with this one. So that would be 18. Thanks that these would cancel out and we will have plus minors more over or let's write it this way. Nine X b right by scare it off. Nine experiments for, uh, you look at you. You know that Y is equal to three plus minus skirted a panic strike force for So this is eagle to then plus minus. Why so depending bowl Ah, sign of life's overrated or negative. You'll end up with nine X, which is same, that's what you found it.