3. \[ y=\frac{x^{4}}{4 x^{2}+4} \] 4. \[ y=\frac{3 x^{3}-3 x^{2}}{2 x^{3}, 6} \]
Added by John D.
Close
Step 1
Step 1: Simplify the expression for \( y = \frac{x^4}{4x^2 + 4} \). Show more…
Show all steps
Your feedback will help us improve your experience
Cheryl Glor and 97 other Algebra 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
Differentiate. $$y=(x-1)^{3}+(x+2)^{4}$$
The Derivative
Some Rules for Differentiation
$$ y=\frac{1}{2} x^{3}, \quad y=4, \quad x=0 $$
Applications of Integration
Volume: The Disk Method
$\begin{aligned} &y=\frac{x^{4}-x^{2}+1}{x^{2}+\sqrt{3} x+1}=x^{2}-\sqrt{3} x+1 \\ &\frac{d y}{d x}=2 x-\sqrt{3} \Rightarrow a=2, b=-\sqrt{3} \\ &a-b=2+\sqrt{3} \end{aligned}$
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD