Use implicit differentiation to find \frac{\partial z}{\partial x} and \frac{\partial z}{\partial y}. $x^2 + 8y^2 + 9z^2 = 3$ $\frac{\partial z}{\partial x} = $ $\frac{\partial z}{\partial y} = $
Added by Kristin H.
Close
Step 1
2x + 16y(dy/dx) + 18z(dz/dx) = 0 Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 71 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find dy/dx by implicit differentiation.
Adi S.
Use implicit differentiation to find x + 4ln(y) =
Use implicit differentiation to find$\frac{d y}{d x}.$ $$y=x e^{y}$$
Derivatives
Implicit Differentiation
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD