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2 cards from this section. Quick, good the night before a test.
What is the derivative of 𝑓(𝑥) = 4?
Remember that derivatives of constant functions are always zero.
If 𝑓(𝑥) = -10, what is 𝑓′(𝑥)?
Think about what changes in a constant function.
What is the derivative of a constant function?
Remember, a flat line means no slope.
True or False: The derivative of 𝑓(𝑥) = 10 is 𝑓′(𝑥) = 10.
What does a derivative represent?
You run a marathon at a constant pace of 6 minutes per mile. If your pace doesn't change, how does this relate to the derivative of a constant function?
Consider how pace reflects speed in a functional context.
Explain how the concept of derivatives of constant functions can aid in understanding scenarios where things do not change.
Think of examples like balance in physical systems.
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