the slope of a function is described by its
a . first derivative
b. second derivative
c. third derivative
d. expression
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answer is second derivative
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It is described by the first derivative.
- The sign of the derivative at a given point indicates whether the function is increasing or decreasing near the specific point.
- When we consider the derivative as the slope of the tangent line, this becomes clear.
- The function would be increasing at that point if the slope of the tangent line is positive. Similarly, if the tangent line's slope is negative, the function would be decreasing.
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