Find the Derivative of the Function $f ( x ) = \frac { 1 } { x - 10 }$

question 147

Multiple Choice

Find the derivative of the function. $f ( x ) = \frac { 1 } { x - 10 }$

• A) \(- \frac { 1 } { 2 \sqrt { x + 10 } }\)
• B) \(\frac { 1 } { 2 \sqrt { x - 10 } }\)
• C) \(- \frac { 1 } { ( x - 10 ) ^ { 2 } }\)
• D) \(\frac { 1 } { ( x + 10 ) ^ { 2 } }\)
• E) \(\frac { 30 } { x ^ { 4 } }\)

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Definitions:

Igneous Rock

A type of rock that comes into existence when lava or magma cools and turns solid.

Pyroclastic Flow

A fast-moving current of hot gas and volcanic materials (such as ash) that flows down the sides of a volcano during an explosive eruption.

Hot

Having a high temperature, often used in the context of describing the thermal state of magma, lava flows, or the Earth's core.

Thick

Having a large distance between opposite sides or surfaces; not thin.