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Derivada de $$$\sec{\left(\theta \right)}$$$
Calculadoras relacionadas: Calculadora de diferenciación logarítmica, Calculadora de derivación implícita con pasos
Tu entrada
Halla $$$\frac{d}{d\theta} \left(\sec{\left(\theta \right)}\right)$$$.
Solución
La derivada de la secante es $$$\frac{d}{d\theta} \left(\sec{\left(\theta \right)}\right) = \tan{\left(\theta \right)} \sec{\left(\theta \right)}$$$:
$${\color{red}\left(\frac{d}{d\theta} \left(\sec{\left(\theta \right)}\right)\right)} = {\color{red}\left(\tan{\left(\theta \right)} \sec{\left(\theta \right)}\right)}$$Por lo tanto, $$$\frac{d}{d\theta} \left(\sec{\left(\theta \right)}\right) = \tan{\left(\theta \right)} \sec{\left(\theta \right)}$$$.
Respuesta
$$$\frac{d}{d\theta} \left(\sec{\left(\theta \right)}\right) = \tan{\left(\theta \right)} \sec{\left(\theta \right)}$$$A
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