exercise:542af557f5: Difference between revisions
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Consider a point <math>(x_1,y_1)</math> on the graph of | Consider a point <math>(x_1,y_1)</math> on the graph of | ||
<math>y^2 = 4ax</math>. | <math>y^2 = 4ax</math>. | ||
<ul style{{=}}"list-style-type:lower-alpha" | |||
<li> | <ul style{{=}}"list-style-type:lower-alpha"> | ||
Find the slope of the tangent to the graph at <math>(x_1,y_1)</math>.</li> | <li>Find the slope of the tangent to the graph at <math>(x_1,y_1)</math>.</li> | ||
<li>Write an equation of the tangent line in | <li>Write an equation of the tangent line in (a).</li> | ||
<li>Show that <math>yy_1 = 2a(x+x_1)</math> is an equation of | <li>Show that <math>yy_1 = 2a(x+x_1)</math> is an equation of | ||
the tangent line.</li> | the tangent line.</li> | ||
</ul> | </ul> | ||
Latest revision as of 01:35, 23 November 2024
[math]
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[/math]
Consider a point [math](x_1,y_1)[/math] on the graph of [math]y^2 = 4ax[/math].
- Find the slope of the tangent to the graph at [math](x_1,y_1)[/math].
- Write an equation of the tangent line in (a).
- Show that [math]yy_1 = 2a(x+x_1)[/math] is an equation of the tangent line.