Exit Ticket for Day 14 in Calculus
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Becerra Gurrola, Luis
Bennett, Jasmine
Botello, Lisa
Garvin, Andrew
Hooper, Halie
Schminke, Luke
White, Maliah
KEY
1. For the following function, find its derivative, f'(x):
f'(x)=3
f'(x)=3x
f'(x)=x²
TRICK QUESTION: This function is not continuous and therefore does not have a derivative.
2. For the following function, find its derivative, f'(x):
f'(x)=3x³+3
f'(x)=x²
f'(x)=3x
f'(x)=3x²
3. Does the function shown below have a derivative at x=2?
Yes
No
4. Using the same graph as in the previous question, does the function shown have a derivative at x=1?
Yes
No
5. Is the function graphed in problem 3 "continuous"?
Yes
No
6. Suppose you have a function that describes the mass of a raindrop as a function of the radius of the raindrop (assuming that the raindrops are spherical). Interpret the DERIVATIVE of that function.
The derivative would be the rate at which the mass is changing, in "kilograms per second".
The derivative would be the rate at which the radius is changing with respect to time, in "meters per second".
The derivative would be the rate at which the mass of the droplet changes as the radius changes, in "kilograms per meter"
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