Free Printable Worksheets for learning Calculus at the Middle School level

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Quiz on Calculus

Questions Answer Area
What is Calculus? _____________________________________
What is the Fundamental Theorem of Calculus? _____________________________________
What is the derivative of the function f(x) = x2? _____________________________________
What is the definition of the integral? _____________________________________
What is the chain rule? _____________________________________
What is the power rule? _____________________________________
What is the product rule? _____________________________________
What is the quotient rule? _____________________________________
What is the definition of a limit? _____________________________________
What are the basic rules of differentiation? _____________________________________

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Introduction to Calculus

Calculus is a branch of mathematics which studies change and motion. It is used to solve problems in many areas of science, engineering, economics, and more.

To understand calculus, you need to understand what a function is and how to work with them. A function is a mathematical expression that takes an input and produces an output. In calculus, we study how functions change over time.

What is a Derivative?

The derivative of a function is a measure of how the function changes as the input changes. It is calculated by taking the limit of the difference between two points on the function divided by the difference between their inputs.

What is an Integral?

An integral is the opposite of a derivative. It is a measure of how the area under a function changes as the input changes. It is calculated by taking the limit of the sum of the areas of the rectangles under the function divided by the difference between their inputs.

Practice Problems

  1. Find the derivative of the following function:

f(x) = 2x2 + 3x

Answer:

The derivative of the function is 4x + 3.

  1. Find the integral of the following function:

f(x) = 3x2 + 2x

Answer:

The integral of the function is x3 + x2 + C, where C is a constant.

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