Difference between revisions of "009A Sample Midterm 1, Problem 5"

Latest revision as of 18:37, 6 November 2017

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

(a) $f(x)={\sqrt {x}}(x^{2}+2)$

(b) $g(x)={\frac {x+3}{x^{\frac {3}{2}}+2}}$ where $x>0$

(c) $h(x)={\frac {e^{-5x^{3}}}{\sqrt {x^{2}+1}}}$

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+<span class="exam"> Find the derivatives of the following functions. Do not simplify.
-::<span class="exam">a)
+<span class="exam">(a) &nbsp; <math style="vertical-align: -5px">f(x)=\sqrt{x}(x^2+2)</math>
-::<span class="exam">b)
+<span class="exam">(b) &nbsp; <math style="vertical-align: -17px">g(x)=\frac{x+3}{x^{\frac{3}{2}}+2}</math> where <math style="vertical-align: 0px">x>0</math>
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
+<span class="exam">(c) &nbsp; <math style="vertical-align: -20px">h(x)=\frac{e^{-5x^3}}{\sqrt{x^2+1}}</math>
-!Foundations: &nbsp;
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 [[009A_Sample_Midterm_1|'''<u>Return to Sample Exam</u>''']]