Write a chain rule formula for the following derivative. ?w/?x for w = f(p,q); p = g(x,y), q = h(x,y) A. ?w/?x = ?w/?x ?x/?p + ?w/?x ?x/?q B. ?w/?x = ?w/?p ?p/?x C. ?w/?x = ?w/?p ?p/?x + ?w/?q ?q/?x D. ?w/?x = ?w/?p + ?w/?q
Added by Douglas B.
Close
Step 1
Step 1:** Given the chain rule formula for the derivative \( \frac{dOw}{dx} = \left(\frac{dOw}{dp}\right) \cdot \left(\frac{dp}{dx}\right) + \left(\frac{dOw}{dq}\right) \cdot \left(\frac{dq}{dx}\right) \) ** Show more…
Show all steps
Your feedback will help us improve your experience
Israel Hernandez and 97 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 the Chain Rule to find the indicated partial derivatives.
Yujie W.
Use the Chain Rule and the Product Rule to give an alternative proof of the Quotient Rule. [ $ Hint: $ Write $ f(x)/ g(x) = f(x)[g(x)]^{-1}.] $
Differentiation Rules
The Chain Rule
State the chain rule for the general composite function. $$g(u, v, w)=f(x(u, v, w), y(u, v, w))$$
Functions of Several Variables and Partial Differentiation
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD