If $x - 9 x e ^ { 4 y } = 5 , \text { find } d y / d x$

question 17

Multiple Choice

If $x - 9 x e ^ { 4 y } = 5 , \text { find } d y / d x$

• A) \(\frac { d y } { d x } = \frac { 1 - 9 e ^ { 4 y } } { 72 e ^ { 4 y } }\)
• B) \(\frac { d y } { d x } = \frac { 1 + 4 e ^ { 4 y } } { 36 x e ^ { 4 y } }\)
• C) \(\frac { d y } { d x } = \frac { 1 - 9 e ^ { 4 y } } { 36 x e ^ { 4 y } }\)
• D) \(\frac { d y } { d x } = \frac { 1 + 9 e ^ { 4 y } } { 72 x e ^ { 4 y } }\)
• E) \(\frac { d y } { d x } = \frac { 1 - 4 e ^ { 4 y } } { 36 e ^ { 4 y } }\)

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Definitions:

Regressive Tax

A tax system where the tax rate decreases as the taxable amount increases, placing a heavier burden on lower-income individuals.

OECD

An international organisation that works to build better policies for better lives, promoting policies that will improve the economic and social well-being of people around the world.

Progressive Tax System

A tax system where the tax rate increases as the taxable amount or income increases, effectively imposing a higher percentage rate on those who earn more.

Regressive Tax

A tax system where the tax rate decreases as the taxable amount increases, placing a higher burden on lower-income earners relative to their income.