K so here's the deal my final answer doesn't match up with my book's answer I get ((xcos)(sin)(sqrt(1+x^2)/sqrt(1+x^2)
the answer is the same except sin isn't there. Does any know what I might have done wrong I used the chain rule. Thanks
K so here's the deal my final answer doesn't match up with my book's answer I get ((xcos)(sin)(sqrt(1+x^2)/sqrt(1+x^2)
the answer is the same except sin isn't there. Does any know what I might have done wrong I used the chain rule. Thanks
$\displaystyle \frac{d}{dx}\left[\sin\left(\sqrt{1+x^2}\right)\right] = \cos\left(\sqrt{1+x^2}\right)$$\displaystyle \frac{d}{dx}\left(\sqrt{1+x^2}\right)$$\displaystyle =\frac{\cos\left(\sqrt{1+x^2}\right)2x}{2\sqrt{1+x ^2}}$
$\displaystyle =\frac{x\cos\left(\sqrt{1+x^2}\right)}{\sqrt{1+x^2 }}$