Derivative Definition and Properties
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Questions and Answers

The derivative of a function is defined to be the area under the curve at a specific point.

False (B)

The derivative of a function at a point x is defined as the limit of the difference quotient as h approaches zero.

True (A)

The derivative of a function always exists.

False (B)

The derivative of a function at a point x is not unique if it exists.

<p>False (B)</p> Signup and view all the answers

The derivative of a constant function is always zero.

<p>True (A)</p> Signup and view all the answers

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