Using the First Derivative Test in Calculus

Using the First Derivative Test in Calculus

Assessment

Flashcard

Mathematics

11th - 12th Grade

Practice Problem

Hard

CCSS
HSF.IF.B.4, HSF.LE.B.5

Standards-aligned

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

The slope of a function is described by its ____________.

Back

first derivative

2.

FLASHCARD QUESTION

Front

Use the sign chart for f'(x). There is(are) ...

Back

a local maximum at x = -2 and a local minimum at x = 4.

3.

FLASHCARD QUESTION

Front

If the first derivative of a function changes from positive to negative at a certain point, then that point is known as a ____________.

Back

relative maximum.

4.

FLASHCARD QUESTION

Front

If the 1st derivative is positive on a certain interval, then that interval is ____________.

Back

increasing.

5.

FLASHCARD QUESTION

Front

Using the FIRST DERIVATIVE TEST, algebraically determine the intervals: What is the result?

Back

local maximum at x = -4 (no local minimum).

6.

FLASHCARD QUESTION

Front

What does the First Derivative Test help determine?

Back

It helps identify local maxima and minima of a function.

7.

FLASHCARD QUESTION

Front

If f'(x) > 0, what can be said about the function f(x)?

Back

The function f(x) is increasing.

Tags

CCSS.HSF.IF.B.4

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