Question
In Exercises $13-16,$ estimate \Deltay using differentials $/ E q .$ (4) $J$ $$y=x^{1 / 3} e^{x-1}, \quad a=1, \quad d x=0.1$$
Step 1
Using the product rule and chain rule, we get: \[y' = \frac{1}{3}x^{-2/3}e^{x-1} + x^{1/3}e^{x-1}\] Show more…
Show all steps
Your feedback will help us improve your experience
Carson Merrill and 74 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
In Exercises $13-16,$ estimate $\Delta$y using differentials $[E q .(3)]$ $$y=x^{1 / 3} e^{x-1}, \quad a=1, \quad d x=0.1$$
APPLICATIONS OF THE DERIVATIVE
Linear Approximation and Applications
In Exercises $13-16,$ estimate \Deltay using differentials $/ E q .$ (4) $J$ $$y=\frac{10-x^{2}}{2+x^{2}}, \quad a=1, \quad d x=0.01$$
In Exercises $13-16,$ estimate $\Delta$y using differentials $[E q .(3)]$ $$y=\frac{10-x^{2}}{2+x^{2}}, \quad a=1, \quad d x=0.01$$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD