# In this section, we will consider the derivative function rather than just at a point. We also begin looking at some of the basic derivative rules.

## Presentation on theme: "In this section, we will consider the derivative function rather than just at a point. We also begin looking at some of the basic derivative rules."— Presentation transcript:

In this section, we will consider the derivative function rather than just at a point. We also begin looking at some of the basic derivative rules.

Let f be any function. The derivative function of f is defined as: provided the limit exists Other notations:

Use the definition of derivative to find the derivative of the function.

Let n be any real number (not necessarily an integer). Then:

Find the derivative of each of the following functions. (a) (b) (c)

Let f be any differentiable function, let k be any constant, and let. Then:

Let f and g be any differentiable functions, and let. Then:

Find the derivative of each of the following polynomials. (a) (b) (c)

Give the equation of the tangent line to the curve at the point (1, 3).

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# In this section, we will consider the derivative function rather than just at a point. We also begin looking at some of the basic derivative rules.

## Presentation on theme: "In this section, we will consider the derivative function rather than just at a point. We also begin looking at some of the basic derivative rules."— Presentation transcript:

In this section, we will consider the derivative function rather than just at a point. We also begin looking at some of the basic derivative rules.

Let f be any function. The derivative function of f is defined as: provided the limit exists Other notations:

Use the definition of derivative to find the derivative of the function.

Let n be any real number (not necessarily an integer). Then:

Find the derivative of each of the following functions. (a) (b) (c)

Let f be any differentiable function, let k be any constant, and let. Then:

Let f and g be any differentiable functions, and let. Then:

Find the derivative of each of the following polynomials. (a) (b) (c)

Give the equation of the tangent line to the curve at the point (1, 3).

Download ppt "In this section, we will consider the derivative function rather than just at a point. We also begin looking at some of the basic derivative rules."

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The content structure of the provided text is a presentation or lecture notes on the basics of derivatives in calculus, including the definition of a derivative function, basic derivative rules, and examples of finding derivatives and tangent lines.

TYPE: MULTIPLE_QUESTIONS

The text contains multiple mathematical questions or prompts for finding derivatives and equations of tangent lines, but no answers are provided within the text.