Difference between revisions of "009A Sample Midterm 3, Problem 3"

Latest revision as of 13:13, 11 November 2017

Let $y=3{\sqrt {2x+5}},x\geq 0.$

(a) Use the definition of the derivative to compute ${\frac {dy}{dx}}.$

(b) Find the equation of the tangent line to $y=3{\sqrt {2x+5}}$ at $(2,9).$

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-<span class="exam"> Use the definition of the derivative to compute <math>\frac{dy}{dx}</math> for <math>y=3\sqrt{-2x+5}.</math>
+<span class="exam"> Let &nbsp;<math style="vertical-align: -3px">y=3\sqrt{2x+5},x\ge 0.</math>
+<span class="exam">(a) Use the definition of the derivative to compute &nbsp; <math style="vertical-align: -13px">\frac{dy}{dx}.</math>
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+<span class="exam">(b) Find the equation of the tangent line to &nbsp;<math style="vertical-align: -3px">y=3\sqrt{2x+5}</math>&nbsp; at &nbsp;<math style="vertical-align: -3px">(2,9).</math>
-!Foundations: &nbsp;
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+[[009A Sample Midterm 3, Problem 3 Solution|'''<u>Solution</u>''']]
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-!Step 1: &nbsp;
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+[[009A Sample Midterm 3, Problem 3 Detailed Solution|'''<u>Detailed Solution</u>''']]
-!Step 2: &nbsp;
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-!Final Answer: &nbsp;
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 [[009A_Sample_Midterm_3|'''<u>Return to Sample Exam</u>''']]