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The derivative of a function is defined to be the area under the curve at a specific point.
The derivative of a function is defined to be the area under the curve at a specific point.
False
The derivative of a function at a point x is defined as the limit of the difference quotient as h approaches zero.
The derivative of a function at a point x is defined as the limit of the difference quotient as h approaches zero.
True
The derivative of a function always exists.
The derivative of a function always exists.
False
The derivative of a function at a point x is not unique if it exists.
The derivative of a function at a point x is not unique if it exists.
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The derivative of a constant function is always zero.
The derivative of a constant function is always zero.
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