Question

d/dx[x² + 1) (x3 + 3)
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Answer 1

HOW TO SOLVE?

$\frac{d( {x}^{2} + 1)( {x}^{3} + 3)}{dx} \\ product \: rule \\ u \frac{dv}{dx} + v \frac{du}{dx} \\ ( {x}^{2} + 1) \frac{d( {x}^{3} + 3 )}{dx} + ({x}^{3} + 3) \frac{d( {x}^{2} + 1)}{dx} \\ ( {x}^{2} + 1 )\frac{d ({x}^{3} )}{dx} + \frac{d(3)}{dx} + ({x}^{3} + 3) \frac{d( {x}^{2}) }{dx} + \frac{d(1)}{dx} \\ solve \: by \: the \: formula \: nx {}^{n - 1} \: and \: constant \: rule . \\ ( {x}^{2} + 1)(3 {x}^{2} ) + 0 + ( {x}^{3} + 3)(2x) + 0 \\ 3 {x}^{4} + 3 {x}^{2} + 2 {x}^{4} + 6x \\ 5 {x}^{4} + 3x {}^{2} + 6x$

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