Question

$$\displaystyle\frac{d}{d \left(xx \right) } \sin 3x$$

Answer

$$IM*d*f^2*x^2,3*sin*x$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[d\imath ff({x}^{2},sin)\times 3x\]
Simplify.
\[d\imath ff{x}^{2},sin\times 3x\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[d\imath {f}^{2}{x}^{2},sin\times 3x\]
Regroup terms.
\[\imath d{f}^{2}{x}^{2},sin\times 3x\]
Regroup terms.
\[\imath d{f}^{2}{x}^{2},3sinx\]