Difference between revisions of "009A Sample Final 1, Problem 3"

Revision as of 21:47, 1 February 2016

Find the derivatives of the following functions.

a) $f(x)=\ln {\bigg (}{\frac {x^{2}-1}{x^{2}+1}}{\bigg )}$

b) $g(x)=2\sin(4x)+4\tan({\sqrt {1+x^{3}}})$

Foundations:

Solution:

(a)

(b)

Step 2:

Step 3:

(c)

Step 1:

@@ Line 1: / Line 1: @@
 <span class="exam">Find the derivatives of the following functions.
-::<span class="exam">a) <math>f(x)=\ln \bigg(\frac{x^2-1}{x^2+1}\bigg)</math>
+<span class="exam">a) <math>f(x)=\ln \bigg(\frac{x^2-1}{x^2+1}\bigg)</math>
-::<span class="exam">b) <math>g(x)=2\sin (4x)+4\tan (\sqrt{1+x^3})</math>
+<span class="exam">b) <math>g(x)=2\sin (4x)+4\tan (\sqrt{1+x^3})</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"