Differentiation

NZ Level 7 (NZC) Level 2 (NCEA)

Power Rule (x^n)

Consider the function $f\left(x\right)=x^n$`f`(`x`)=`x``n`, where $n$`n` is any positive integer.

Complete the following table. (Use the ^ key to create powers).

$f\left(x\right)$f(x) |
$f'\left(x\right)$f′(x) |
---|---|

$x$x |
$\editable{}$ |

$x^2$x2 |
$\editable{}$ |

$x^3$x3 |
$\editable{}$ |

$x^4$x4 |
$\editable{}$ |

$x^n$xn |
$\editable{}$ |

Easy

Approx a minute

Sign up to try all questions

Apply differentiation and anti-differentiation techniques to polynomials

Apply calculus methods in solving problems