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Calculus

Unit 1

Unit 1: Differentiation

Introduction to Differentiation Derivatives Visualizing Differentiation

Unit 2

Unit 2: Integration

Introduction to Integration Integrals Visualizing Integration

Unit 3

Unit 3: Multivariable

Introduction to Multivariable Calculus Multivariable Functions Visualizing Multivariable Calculus

Unit 1 • Chapter 2

Derivatives

Video Summary

This video is a tutorial on how to integrate functions. The instructor starts with a simple example and then moves on to a more complex one. He explains the steps in detail and provides clear examples.

Knowledge Check

What is the first step in solving a derivative?

Copy the expression as it looks

Take the derivative of the expression

Change the way it looks

Add a 1 to the power

What is the difference between the derivative and the integral?

The derivative is the rate of change of a function, while the integral is the area under the curve

The derivative is the area under the curve, while the integral is the rate of change of a function

The derivative is the sum of the values of a function, while the integral is the average of the values of a function

The derivative is the product of the values of a function, while the integral is the quotient of the values of a function

What is the chain rule?

A rule that allows you to find the derivative of a composite function

A rule that allows you to find the integral of a composite function

A rule that allows you to find the derivative of a function with respect to a constant

A rule that allows you to find the integral of a function with respect to a constant

Calculus

Derivatives

Video Summary

Knowledge Check

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Visualizing Differentiation

Introduction to Differentiation