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Unit 2

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

1 min readβ€’june 7, 2020

Sumi Vora


Properties of Derivatives 🚩

πŸŽ₯Watch: AP Calculus AB/BC - Introduction to Finding Derivatives
πŸŽ₯Watch: AP Calculus AB/BC - Practicing Derivative Rules
There are certain properties of derivatives that come into play when you take the derivative of functions.Β 
The sum and difference properties state that when you’re taking a derivative and two components are added or subtracted, you can take the derivative of each component individually.Β 
For example, the derivative of f(x)=x^3+2x could be calculated asΒ 
f'(x) = [the derivative of x^3] + [the derivative of 2x].Β 
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].Β 
https://firebasestorage.googleapis.com/v0/b/fiveable-92889.appspot.com/o/images%2FScreenshot%20(365).png?alt=media&token=419758a1-9ff2-47fc-9d12-f7f83839725b

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