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### Implicit Differentiation Exercises Answers

These are textbook answers. Some answers not given here may be in the worked problems (but results are not guaranteed).

#### C25-3

{$${{2x-y} \over x } \text{ or } 1 + {5 \over {x^2}}$$}

#### C25-5

{$${x \over {4y}} \text{ or } { x \over {2 \sqrt{x^2-36}}}$$}

#### C25-7

{$$-{{x^2} \over {y^2}} \text{ or } -{{x^2} \over {\left( a^3 - x^3 \right) ^{2 \over 3}}}$$}

#### C25-9

{$${{3(1-x^2)} \over {2y}} \text{ or } {{3(1-x^2)} \over {2\sqrt{3x-x^3}}}$$}

#### C25-11

{$${{2x-y^2} \over {2y+2xy}} \text{ or } {{2+x} \over {2\sqrt{(1+x)^2}}}$$}

#### C25-13

{$${{-y} \over x}$$}

#### C25-15

{$${1 \over {2y}}$$}

#### C25-17

{$$- \sqrt{y \over x}$$}

Sources:

Recommended:

Category: Math Calculus Implicit Differentiation

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### December 23, 2018

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