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๐Ÿ‘‘ย  Unit 1: Limits & Continuity

๐Ÿถย  Unit 8: Applications of Integration

โ™พย  Unit 10: Infinite Sequences and Series (BC Only)

2.6 Derivative Rules: Constant, Sum, Difference, and Constant Multiple

#derivativerules

#derivatives

โฑ๏ธย ย 1 min read

written by

Sumi Vora

sumi vora


Properties of Derivatives ๐Ÿšฉ

๐ŸŽฅWatch: AP Calculus AB/BC - Introduction to Finding Derivatives

๐ŸŽฅWatch: AP Calculus AB/BC - Practicing Derivative Rules

There are certain properties of derivatives that come into play when you take the derivative of functions.ย 

The sum and difference properties state that when youโ€™re taking a derivative and two components are added or subtracted, you can take the derivative of each component individually.ย 

For example, the derivative of f(x)=x^3+2x could be calculated asย 

f'(x) = [the derivative of x^3] + [the derivative of 2x].ย 

If there is a constant in front of a function, it stays the same throughout. The derivative of f(x)=5x^7 is the same thing as 5[the derivative of x^7].ย 

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