Introductory Calculus

Practice Questions

Pre-Calculus › Introductory Calculus

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1

Find the derivative of the following function

2

Find the derivative of the function $f(x)=x^{3}+5$ .

3

Determine the values for the points of inflection of the following function:

4

Find the derivative of the following function

5

Given the following function, find the critical numbers:

6

Find where .

7

Find the first derivative of $y=x^{3}$ .

8

Find where .

9

Determine the x-coordinate of the inflection point of the function .

10

Calculate $\lim_{x\rightarrow \infty }\left ( x^{2} \sin \frac{1}{ x^{2}-1} - \sin \frac{1}{ x^{2}-1} \right )$ .

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