The ƒ

ƒ(0) = 9 shown here

ƒ(1) = 16 shown here

ƒ(-1) = 4 shown here

Δƒ(x) | |

Δx |

= |

ƒ(x + h) - ƒ(x) |

h |

Power Rule for ƒ(x) = ax

Power Rule Example: Given ƒ(x) = 3x

Product Rule of Derivatives for (f · g) = f · g' + f' · g = (u · v) = uv' + vu'

Quotient Rule for Derivatives. If you have a fraction for a function, your derivative using the quotient rule is shown below:

ƒ(x) = | g(x) |

h(x) |

ƒ'(x) = | h(x)g'(x) - h'(x)g(x) |

[h(x)]^{2} |

Translating Cartesian Coordinates of (3,4) to Polar Coordinates of (5,53.13°) is shown here

Translating Polar to Cartesian Transformation is (r,θ) → (x,y) = (rcosθ,rsinθ)

Translating Polar Coordinates of (r,θ) = (20,30°) = (17.3205,10) shown here

The explicit formula for the artithmetic series 1,5,9,13,17 is a

The explicit formula for a geometric series is a

r = | a_{n} |

a_{n - 1} |

The explicit formula for the geometric series 2,4,8,16,32 is a