(ii) \( y=x+\frac{4}{x} \) at \( (2,4) \)
Added by Felicia B.
Close
Step 1
The derivative of \( x \) is \( 1 \) and the derivative of \( \frac{4}{x} \) is \( -\frac{4}{x^2} \). So, the derivative of the function is \( y'=1-\frac{4}{x^2} \). Show more…
Show all steps
Your feedback will help us improve your experience
Ian Grigsby 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
$$ y=2, \quad y=4-\frac{x^{2}}{4} $$
Applications of Integration
Volume: The Disk Method
$$(2 x-y+4) d x+(x-2 y-2) d y=0$$
First-Order Differential Equations
Substitutions and Transformations
$$ \begin{aligned} &x^{2}+4 y^{2}=20\\ &x y=4 \end{aligned} $$
Conic Sections
Nonlinear Systems of Equations
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD