Differential and Integral practice

Question 1

3 Examples and how to do it:

When to use first derivative

Answer 1

1. Finding gradient (replace x coordinate with x of first derviative)
2. Stationary point (make first derivative = 0 and solve for x
3. Sketching graphs

Question 2

1 Example and how to do it:

When to use second derivative

Answer 2

Defining stationary points as a max, min or point of inflection (if second derivative is larger than 0, function is at a min)

Question 3

2 Examples and how to do it:

When to use intergration

Answer 3

1. Finding area under curves (definite integrals)
2. Area between two curves