#### Negative Second Powers

- {$\displaystyle {1 \over x^2} $}
- {$\displaystyle {1 \over {1+(3x+2)^2}} $}

#### Negative First Powers

- {$\displaystyle {1 \over x} $}
- {$\displaystyle {{1+2x+3x^2} \over x^3}$}
- {$ \displaystyle {1 \over {3x + 2}} $}
- {$ \displaystyle {{(3x-2)^2} \over x^2} $}
- {$ \displaystyle {x \over{4+x^2}}$}

#### Fractional Powers

- {$\displaystyle \sqrt{x+1} $}
- {$\displaystyle \sqrt x - {2 \over {\sqrt x}} $}
- {$\displaystyle {{x^{3 \over 2} - 4 x^{1 \over 3}} \over x}$}
- {$\displaystyle 3\sqrt x+2 $}
- {$\displaystyle 3\sqrt x+3$}
- {$\displaystyle \sqrt{3x + 2} $}

#### First Powers

- {$\displaystyle (\sqrt x+ {1 \over 3})^2 $}

#### Second Powers

- {$ \displaystyle 1+y^2$}
- {$ \displaystyle a^2 + 2abx + b^2x^2 $}
- {$\displaystyle 2x - x^2 $}
- {$\displaystyle (1-2x)^2\sqrt x$}
- {$ \displaystyle x\sqrt{4+x^2} $}

#### Third Powers

- {$\displaystyle x^3 $}
- {$ \displaystyle x^3 - x^2 - x - 1$} aka {$ \displaystyle (1-x)(1+x^2) $}
- {$ \displaystyle (x^3 - 2)(x^{1 \over 2} + x^{2 \over 3})$}

#### Fourth Powers

- {$ \displaystyle 1-4t^4$}

#### Exponential Functions

- {$\displaystyle (e^x - e^{-x})^2$}

- {$\displaystyle \cos^3 x $}
- {$\displaystyle \sin x \sqrt {\cos x} $}
- {$\displaystyle \cos x \sqrt {\sin x} $}
- {$\displaystyle \cos x(1 + 4\sin x + 9\sin^2x ) $}

#### Miscellaneous & Unsorted

- {$\displaystyle \lim_{x \rightarrow 0} {{(x + 1)^{1 \over 3} - 1} \over x} $}

*Graph:*

*Sources:*

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**Category:** Math

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