Use the Chain Rule to Compute the Derivative Of $\frac { ( 3 x + 1 ) ^ { 3 } } { ( 3 x + 1 ) ^ { 3 } + 1 }$

question 67

Short Answer

Use the chain rule to compute the derivative of $\frac { ( 3 x + 1 ) ^ { 3 } } { ( 3 x + 1 ) ^ { 3 } + 1 }$ at x = -1.
Enter just a reduced fraction.

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Definitions:

Tropical Deciduous Forest

A biome classified by trees that shed their leaves in dry seasons, found in tropical regions with seasonal rainfall.

Desert Plants

Flora adapted to arid environments, often featuring modifications like thick stems or leaves that minimize water loss.

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The increase in Earth's average surface temperature due to natural phenomena and human activities, contributing to climate change.

Lower Atmosphere

The part of Earth's atmosphere closest to the surface, extending up to the tropopause, which includes the troposphere and is where most weather events occur.