Find $\frac { d y } { d x }$ (A) $y = \left( \frac { x + 1 } { x - 3 } \right) ^ { 4 }$

question 226

Essay

Find $\frac { d y } { d x }$ .(a) $y = \left( \frac { x + 1 } { x - 3 } \right) ^ { 4 }$ (b) $y = e ^ { 2 x } + e ^ { 99 }$ (c) $y = x e ^ { x ^ { 2 } + 7 }$ (d) $y = \tan \left( \sin x ^ { 2 } \right)$

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Definitions:

Chlorine Radical

A reactive atom of chlorine that possesses an unpaired electron, making it extremely reactive with other substances.

Tertiary H Atoms

Hydrogen atoms bonded to a tertiary carbon, which is a carbon atom bonded to three other carbon atoms.

Primary H Atoms

Hydrogen atoms attached to a carbon atom that is in turn bonded to no more than one other carbon atom.

Monobromination Product

A substance obtained by introducing a bromine atom into an organic molecule, typically replacing a hydrogen atom.