Use the chain rule to find z_s and z_t. z = (x - y)^7, x = s^2t, y = st^2
Added by Suzanne F.
Step 1
z_x = 7(x - y)^6 * 1 z_y = -7(x - y)^6 * 1 Next, we need to find the partial derivatives of x and y with respect to s and t. x_s = 2st x_t = s^2 y_s = t^2 y_t = 2st Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S 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
Use the Chain Rule to find ∂z/∂s and ∂z/∂t. z = (x - y)^7, x = s^2t, y = st^2 ∂z/∂s = ∂z/∂t =
Adi S.
Use the Chain Rule to find dz/ds and dz/dt. z = (x - y)^7, x = s^2t, y = st^2
Use the chain rule to find $\frac{d y}{d x},$ and express the answer in terms of $x$. $$ y=u^{2} ; \quad u=x^{3}-4 $$
The Derivative
The Chain Rule
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