Differentiate √(x^2 + 4x^4) using differentiation from first principles. Then, using first principles, show that it does not exist when x = 0.
Added by Shannon R.
Step 1
The definition of differentiation from first principles is: f'(x) = lim(h->0) [f(x+h) - f(x)] / h Show more…
Show all steps
Close
Your feedback will help us improve your experience
Atul Kumar and 79 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
Differentiate the functions. $$y=x^{4}+4 \sqrt[4]{x}$$
Techniques of Differentiation
The Product and Quotient Rules
Bradley D.
Find the derivative of the function. $y=\frac{x}{\sqrt{x^{4}+2}}$
Differentiation
The Chain Rule
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD