Title: Graphing Derivatives Pre-Video Questions
Course: Calculus Videos Project > Section: Graphing Derivatives

Q: The graph of the function g is shown below.

On the interval [-6, -4], is g'(x):
- < 0
- = 0
- > 0
- more than one of the above
A: more than one of the above

Q: The graph of the function g is shown below.

On the interval [-4, -2], is g'(x):
- < 0
- = 0
- > 0
- more than one of the above
A: < 0

Q: The graph of the function g is shown below.

On the interval [0, 1] is g'(x):
- < 0
- = 0
- > 0
- more than one of the above
A: < 0

Q: The graph of the function g is shown below.

On the interval [3, 5] is g'(x):
- < 0
- = 0
- > 0
- more than one of the above
A: > 0

Q: The graph of the function g is shown below.

On the interval [-8, -6] is g'(x):
- Increasing
- Decreasing
- More than one of the above
A: Decreasing

Q: The graph of the function g is shown below.

On the interval [-6, -4] is g'(x):
- Increasing
- Decreasing
- More than one of the above
A: Decreasing

Q: The graph of the function g is shown below.

On the interval [0, 2] is g'(x):
- Increasing
- Decreasing
- More than one of the above
A: Increasing

Q: The graph of the function g is shown below.

On the interval [-4, 2] is g'(x):
- Increasing
- Decreasing
- More than one of the above
A: More than one of the above

Q: The graph of the function g is shown below.

For how many values of x in the interval [-8, 6] does g'(x) = 0?
- 0
- 1
- 2
- 3
- 4
- 5
- 6
- Unable to tell without the formula
A: 2

Q: The graph of the function g is shown below.

From the following expressions, identify the largest according to the numerical value they represent:
- g'(3)
- \(\frac{g\left(3+\Delta x\right)-g\left(3\right)}{\Delta x}\) for > 0
- g(0)
- g'(0)
A: \(\frac{g\left(3+\Delta x\right)-g\left(3\right)}{\Delta x}\) for > 0

Q: The graph of the function g is shown below.

From the following expressions, identify the smallest according to the numerical value they represent:
- g'(3)
- \(\frac{g\left(3+\Delta x\right)-g\left(3\right)}{\Delta x}\) for > 0
- g(0)
- g'(0)
A: g'(0)