If \frac{x^2}{25} + \frac{y^2}{64} = 1 and y(3) = \frac{32}{5}, find y'(3) by implicit differentiation. Use exact v y'(3) =
Added by Donna A.
Close
Step 1
Given: (x^(2))/25 + (y^(2))/64 = 1 Differentiating both sides with respect to x: (2x)/25 + (2y)(dy/dx)/64 = 0 Show more…
Show all steps
Your feedback will help us improve your experience
Willis James and 54 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 y'(3) by implicit differentiation.
Willis J.
Find y'(25) by implicit differentiation.
Khushbu R.
Use implicit differentiation to find$\frac{d y}{d x}.$ $$\sqrt{x^{4}+y^{2}}=5 x+2 y^{3}$$
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