diff --git a/education/math/MATH1210 (calc 1)/Max and Min.md b/education/math/MATH1210 (calc 1)/Max and Min.md index 0d2dc47..4ff40a6 100644 --- a/education/math/MATH1210 (calc 1)/Max and Min.md +++ b/education/math/MATH1210 (calc 1)/Max and Min.md @@ -1,9 +1,8 @@ -# Absolute Maximum +# Absolute Maximum/Minimum A function $f$ has an *absolute maximum* at $c$ if $f(c) >= f(x)$. We call $f(c)$ the maximum value of $f$. +The absolute **maximum** is the largest possible output value for a function. -The absolute maximum is the largest possible output value for a function. - -# Absolute Minimum A function $f$ has an absolute minimum at $c$ if $f(c) <= f(x)$. $f(c)$ is the absolute minimum value of $f$. +The absolute **minimum** is the smallest possible output value for a function. -The absolute minimum is the smallest possible output value for a function. \ No newline at end of file +- Where the derivative of a function is zero, there is either a peak or a trough.