Question

derivada de y=3senX³​

Answer 1

Respuesta:

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Hallar la derivada:

$\bf{y = 3sen( {x}^{3} })$

$\bf{y' = \frac{d}{dx} (3sen( {x}^{3} }))$

$\bf{y'= 3 \times \frac{d}{dx} (sen( {x}^{3} ))}$

$\bf{y' = 3 \times \frac{d}{dg} (sen(g)) \times \frac{d}{dx} ( {x}^{3} )}$

$\bf{y'= 3cos(g) \times 3 {x}^{2} }$

$\bf{y' = 3cos( {x}^{3} ) \times 3 {x}^{2} }$

$\boxed{ \bf{y' = 9 {x}^{2} \times cos( {x}^{3}) }}$

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