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Calculus ยท CHA

Explain the Meaning of a Derivative

Explain what a derivative represents in the context of position and velocity.

CalculusCommon Core CHA-2.BCHAVerified correct โœ“

Worked examples

A car's position (in miles) at time t (in hours) is given by s(t) = 33tยฒ + 10t. Explain what the derivative s'(t) tells you about the car's motion. What does s'(33) represent? What are its units?
Answer:
A car's position (in miles) at time t (in hours) is given by s(t) = 71tยฒ + 32t. Explain what the derivative s'(t) tells you about the car's motion. What does s'(71) represent? What are its units?
Answer:

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