Example

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

Question

$$\displaystyle\frac{d}{d \left(xx \right) } \left( \sin 2 { x }^{ 4 } \right)$$

Answer

$$IM*d*f^2*x^2,sin(2)*x^4$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[d\imath ff({x}^{2},\sin{2}{x}^{4})\]
Simplify.
\[d\imath ff{x}^{2},\sin{2}{x}^{4}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[d\imath {f}^{2}{x}^{2},\sin{2}{x}^{4}\]
Regroup terms.
\[\imath d{f}^{2}{x}^{2},\sin{2}{x}^{4}\]
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