how to differentiate sin^2 (x) cos(x)
You asked:
Find the derivative of the function \({\sin\left( x \right)}^{2} \cdot \cos\left( x \right)\) with respect to \(x\).
MathBot Answer:
\[\frac{d}{d x}\left[{\sin\left( x \right)}^{2} \cdot \cos\left( x \right)\right] = - \sin^{3}{\left(x \right)} + 2 \sin{\left(x \right)} \cos^{2}{\left(x \right)}\]