Difference between revisions of "009A Sample Midterm 3, Problem 4"

Latest revision as of 18:57, 6 November 2017

Find the derivatives of the following functions. Do not simplify.

(a) $f(x)={\frac {(3x-5)(-x^{-2}+4x)}{x^{\frac {4}{5}}}}$

(b) $g(x)={\sqrt {x}}+{\frac {1}{\sqrt {x}}}+{\sqrt {\pi }}$ for $x>0.$

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-<span class="exam">Find the equation of the tangent line to <math>y=3\sqrt{-2x+5}</math> at <math>(-2,9).</math>
+<span class="exam"> Find the derivatives of the following functions. Do not simplify.
+<span class="exam">(a)&nbsp; <math style="vertical-align: -16px">f(x)=\frac{(3x-5)(-x^{-2}+4x)}{x^{\frac{4}{5}}}</math>
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+<span class="exam">(b)&nbsp; <math>g(x)=\sqrt{x}+\frac{1}{\sqrt{x}}+\sqrt{\pi}</math>&nbsp; for &nbsp;<math style="vertical-align: 0px">x>0.</math>
-!Foundations: &nbsp;
-|-
-| Tangent line formula
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+<hr>
-'''Solution:'''
+[[009A Sample Midterm 3, Problem 4 Detailed Solution|'''<u>Detailed Solution with Background Information</u>''']]
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+[[File:9ASM3P4.jpg|600px|thumb|center]]
-!Step 1: &nbsp;
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-!Step 2: &nbsp;
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-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Final Answer: &nbsp;
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 [[009A_Sample_Midterm_3|'''<u>Return to Sample Exam</u>''']]