From 0942495fa260184b18d134529f46aa2f7f7837b6 Mon Sep 17 00:00:00 2001 From: Nic <24358775+nicfv@users.noreply.github.com> Date: Mon, 6 Jan 2025 10:09:15 -0800 Subject: [PATCH] Formatting (#141) --- packages/smath/examples/Tangent Line.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/packages/smath/examples/Tangent Line.md b/packages/smath/examples/Tangent Line.md index 9957bdd..cb46c7b 100644 --- a/packages/smath/examples/Tangent Line.md +++ b/packages/smath/examples/Tangent Line.md @@ -2,14 +2,14 @@ The tangent line to a curve is a line that passes through a single local point on the curve, that also matches the same slope. That means, the derivative of the curve must match the slope of the tangent line. -Let's assume our curve is defined by the formula below and we want to find the tangent line at $x_{0}=1$. +Let's assume our curve is defined by the formula below and we want to find the tangent line at \(x_{0}=1\). $$f(x) = \frac{1}{8}x^{2} - x - 4$$ -We could plug in $f(x_{0})$ to obtain $y_{0}$, then compute the derivative $f'(x_{0})$ to obtain the slope, and then plug in our values into point-slope form. +We could plug in \(f(x_{0})\) to obtain \(y_{0}\), then compute the derivative \(f'(x_{0})\) to obtain the slope, and then plug in our values into point-slope form. $$y-y_{0}=m(x-x_{0})$$ -Finally, we can rewrite this formula in y-intercept form $y=mx+b$ where $b=y_{0}-mx_{0}$. +Finally, we can rewrite this formula in y-intercept form \(y=mx+b\) where \(b=y_{0}-mx_{0}\). $$y=mx+(y_{0}-mx_{0})$$ \ No newline at end of file