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Derivatives
What are Derivatives
How to Differentiate
Power Rule
Exponentials/Logs
Trig Functions
Sum Rule
Product Rule
Quotient Rule
Chain Rule
Log Differentiation
More Derivatives
Implicit Differentiation
Increasing/Decreasing
2nd Derivative
Concavity
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Worksheets
Derivatives
Power Rule
Exponentials and Logs
Trigonometric Functions
Sum Rule
Product Rule
Quotient Rule
Chain Rule
All Types
Quotient Rule Worksheet
The Quotient Rule
Powers
$\frac{d}{dx}[\frac{x^{3}}{(x^2-x+5)}]$
\frac{x^{3}}{(x^2-x+5)}
x^3/(x^2-x+5)
=
Submit Answer:
Logarithms
$\frac{d}{dx}[\frac{(x^4+x^2)}{\ln{(x)}}]$
\frac{(x^4+x^2)}{\ln{(x)}}
(x^4+x^2)/ln(x)
=
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Trigonometry
$\frac{d}{dx}[\frac{(x^5-x^2)}{\cos(x)}]$
\frac{(x^5-x^2)}{\cos(x)}
(x^5-x^2)/cos(x)
=
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Exponentials
$\frac{d}{dx}[\frac{e^x}{(-x^3+x-3)}]$
\frac{e^x}{(-x^3+x-3)}
e^x/(-x^3+x-3)
=
Submit Answer:
Advanced
Sums
$\frac{d}{dx}[\frac{(\ln(x)+x^4)}{e^x}]$
\frac{(\ln(x)+x^4)}{e^x}
(ln(x)+x^4)/e^x
=
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Products
$\frac{d}{dx}[\frac{x^4\tan(x)}{e^x}]$
\frac{x^4\tan(x)}{e^x}
x^4tan(x)/e^x
=
Submit Answer:
Lightning Round
Easy
$\frac{d}{dx}[\frac{x}{e^x}]$
\frac{x}{e^x}
x/(e^x)
=
Submit Answer:
Medium
$\frac{d}{dx}[\frac{(x^2-4x)}{\tan(x)}]$
\frac{(x^2-4x)}{\tan(x)}
(x^2-4x)/tan(x)
=
Submit Answer:
Hard
$\frac{d}{dx}[\frac{x^5\tan(x)}{\ln(x)}]$
\frac{x^5\tan(x)}{\ln(x)}
x^5tan(x)/ln(x)
=
Submit Answer:
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Related content
Quotient Rule Lesson
Product Rule Worksheet
Chain Rule Worksheet
Quotient Rule Video
Quotient Rule Explained
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