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# Calculus Quiz

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@FastPacedLapisLazuli4595

### What are the two major branches of calculus?

Differential calculus and integral calculus

### Which aspect of calculus concerns instantaneous rates of change and the slopes of curves?

Differential calculus

### What does integral calculus concern?

Accumulation of quantities, and areas under or between curves

### Who independently developed infinitesimal calculus in the late 17th century?

<p>Isaac Newton and Gottfried Wilhelm Leibniz</p> Signup and view all the answers

### What does the word 'calculus' mean in Latin?

<p>Small pebble</p> Signup and view all the answers

### What is the meaning of the word 'calculus' in Latin?

<p>Small pebble</p> Signup and view all the answers

### Who independently developed infinitesimal calculus in the late 17th century?

<p>Isaac Newton and Gottfried Wilhelm Leibniz</p> Signup and view all the answers

### What does differential calculus concern?

<p>Instantaneous rates of change and slopes of curves</p> Signup and view all the answers

### What does integral calculus concern?

<p>Accumulation of quantities and areas under or between curves</p> Signup and view all the answers

### What are the fundamental notions that differential and integral calculus make use of?

<p>Convergence of infinite sequences and infinite series to a well-defined limit</p> Signup and view all the answers

## Study Notes

### Branches of Calculus

• Calculus has two major branches: differential calculus and integral calculus

### Differential Calculus

• Concerns instantaneous rates of change and the slopes of curves
• Deals with the study of rates of change and slopes of curves

### Integral Calculus

• Concerns the study of accumulation of quantities
• Deals with the study of areas under curves and volumes of solids

### History of Calculus

• Infinitesimal calculus was independently developed in the late 17th century by Sir Isaac Newton and German mathematician Gottfried Wilhelm Leibniz

### Etymology of Calculus

• The word 'calculus' means 'small stone' in Latin
• The term 'calculus' was first introduced by German mathematician Gottfried Wilhelm Leibniz

### Fundamental Notions

• Differential and integral calculus make use of two fundamental notions: the concept of limits and the concept of infinity

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## Description

Test your knowledge of calculus with this quiz! Explore topics such as differential and integral calculus, instantaneous rates of change, and slopes of curves. See how well you understand the mathematical study of continuous change.

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