Assuming sin(xy) = y^2 - x^2 implicitly defines y as a differentiable function of x, find dy/dx.
Added by Erica F.
Step 1
d/dx(sin(xy)) = d/dx(y^2 - x^2) Show more…
Show all steps
Close
Your feedback will help us improve your experience
Khushbu Rani and 95 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. y = sin(xy)
Khushbu R.
Assume that $y=\sin ^{-1} x$ is a differentiable function of $x .$ By differentiating the equation $x=\sin y$ implicitly, show that $d y / d x=1 / \sqrt{1-x^{2}}$.
Derivatives
Implicit Differentiation
If y(x) is defined implicitly by x sin(y^2) = y sin (x^2) , find the derivative of y(x) , as a function of x and y.
Hemraj K.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD