Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

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

Answer

$$IM*d*f^2*x^2,3*sin(e^x)$$

Solution


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