If $x^4 + x^2y + 7y^2 = 10$, find $y'$ by implicit differentiation.
Added by Mary J.
Close
Step 1
Take the derivative of both sides with respect to x: d/dx (x'y) + d/dx (y^2) + d/dx (Ty) = d/dx (10) x''y + x'y' + 2yy' + Ty' = 0 Show more…
Show all steps
Your feedback will help us improve your experience
Shaiju T and 57 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
Use implicit differentiation to find $d y / d x$. $$x e^{y}-10 x+3 y=0$$
Logarithmic, Exponential, and Other Transcendental Functions
Exponential Functions: Differentiation and Integration
Find $d y / d x$ by implicit differentiation. $$x e^{y}-10 x+3 y=0$$
Differentiation
Implicit Differentiation
Find $d y / d x$ and $d^{2} y / d x^{2}$ at the point $P_{0}$ by implicit differentiation. $2 e^{y}=3-x+y \quad P_{0}=(1,0)$
The Derivative
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD