(See Steps) Suppose that a function is given by the equation f(x)=60 sin ((2 π)/(√x^n)) Find an equation for the derivative f^prime(x) showing
Question: Suppose that a function is given by the equation
\[f(x)=60 \sin \left(\frac{2 \pi}{\sqrt{x^{n}}}\right)\]-
Find an equation for the derivative \(f^{\prime}(x)\) showing all steps. Perform any obvious simplifications.
Your answer should be in terms of the unknown constant \(n\). - Find a value for \(n\) if you are given that \(f^{\prime}(1)=-1260 \pi\).
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