Calculus Concepts: Min/Max Values and Integrals

Solving algebraic equations.

Explaining the concept of derivatives.

Answering questions on unit six.

Discussing the history of calculus.

The graph of a function f.

The graph of f prime, the derivative of f.

A histogram of data points.

A pie chart of statistical data.

Positive 1

Zero

Negative 1

Negative 2

To determine the slope of a tangent line.

To solve a quadratic equation.

To calculate the average value of a function.

To find the absolute minimum and maximum values.

Intermediate Value Theorem

Pythagorean Theorem

Extreme Value Theorem

Fundamental Theorem of Calculus

Only at critical points

At critical points and endpoints

At random points

Only at endpoints

10 at x = 4

15 at x = 0

17 at x = 1

14 at x = 7

Evaluate an indefinite integral.

Evaluate a definite integral.

Find the derivative of a function.

Solve a differential equation.

u = x - 5

u = 5 - x^2

u = x^2

u = x + 5