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Mathematics
General Math
Derivative of ##\theta## w.r.t. ##a##: A Detailed Explanation
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[QUOTE="Mark44, post: 6164418, member: 147785"] In a nutshell, for the derivative you need to use the following rules, in this order: [LIST=1] [*]Use the chain rule form of the derivative with respect to u of ##\arccos u##, where u is the rational expression in the parentheses. ##\frac d{dx}\left(\arccos(u)\right) = \frac {-1}{\sqrt{1 - u^2}}\frac {du}{dx}## [*]Use the quotient rule to take the deriviative with respect to a of the rational expression. This will be a little bit messy, but not too bad if you're careful. [/LIST] In the previous post, the last LaTeX was broken. I attempted to fix it, but gave up. [/QUOTE]
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Forums
Mathematics
General Math
Derivative of ##\theta## w.r.t. ##a##: A Detailed Explanation
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