Continuous functions, discontinuous functions, rules of differentiation.

in /by

Continuous functions, discontinuous functions, rules of differentiation.

1. Prove (using the defi nition of continuity), that f(x) = x^2 – 4 is a continuous function.
2. Give an example of a discontinuous function and explain why it is discontinuous.
3. Find the average rate of change of f(x) = x^3 from x1 = 1 to x2 = 3.
4. Find the derivative of f(x) = x^2 at the point x0 = 2 using the de nition of the derivative.
5. Using the rules of di?erentiation, find the derivative of f(x) = 5x^4 + 3x.
6. Using the rules of di?erentiation, fi nd the derivative of f(x) = x^3 e^x^2
7. Using either the First or Second Derivative Test, nd all maxima and minima of f(x) = x^3 + 2x^2 + 1.

"You need a similar assignment done from scratch? Our qualified writers will help you with a guaranteed AI-free & plagiarism-free A+ quality paper, Confidentiality, Timely delivery & Livechat/phone Support.


Discount Code: CIPD30


Click ORDER NOW..

order custom paper