Difference between revisions of "009A Sample Final 2, Problem 3"

Revision as of 19:27, 17 February 2017

Compute ${\frac {dy}{dx}}.$

a)

y={\bigg (}{\frac {x^{2}+3}{x^{2}-1}}{\bigg )}^{3}

b)

y=x\cos({\sqrt {x+1}})

c)

y=\sin ^{-1}x

Solution:

(a)

Step 2:

(b)

Step 1:

Step 2:

(c)

@@ Line 1: / Line 1: @@
-<span class="exam">Compute
+<span class="exam">Compute <math>\frac{dy}{dx}.</math>
-::<span class="exam">a) <math style="vertical-align: -14px">\lim_{x\rightarrow 4} \frac{\sqrt{x+5}-3}{x-4}</math>
+::<span class="exam">a) <math style="vertical-align: -14px">y=\bigg(\frac{x^2+3}{x^2-1}\bigg)^3</math>
-::<span class="exam">b) <math style="vertical-align: -14px">\lim_{x\rightarrow 0} \frac{\sin^2x}{3x}</math>
+::<span class="exam">b) <math style="vertical-align: -3px">y=x\cos(\sqrt{x+1})</math>
-::<span class="exam">c) <math style="vertical-align: -14px">\lim_{x\rightarrow -\infty} \frac{\sqrt{x^2+2}}{2x-1}</math>
+::<span class="exam">c) <math>y=\sin^{-1} x</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"