I am having another problem with basic math in my homework. Help is much appreciated.
The answer is: $\frac 1{\sqrt{4-x^2}}$
The problem is: Find $\frac {\mathrm{d}}{\mathrm dx} \sin^{-1} (x/2)$
What I have:
$\frac 1{\sqrt{1-(x/2)^2}} \cdot \frac12$
$\frac 1{\sqrt{4-x^2}} \cdot \frac 12$.
How do I move from what I have to the answer. Essentially, I don't know how to get rid of the 1/2. I typed in the answer in WolframAlpha and it gave me the answer. I clicked "Show Steps" and it showed my work until the last step putting a 2 in the denominator but not showing how to get rid of the two for the answer.
Thanks.