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Derivatan av $$$\tan{\left(\theta \right)}$$$
Relaterade kalkylatorer: Kalkylator för logaritmisk derivering, Räknare för implicit derivering med steg
Din inmatning
Bestäm $$$\frac{d}{d\theta} \left(\tan{\left(\theta \right)}\right)$$$.
Lösning
Derivatan av tangens är $$$\frac{d}{d\theta} \left(\tan{\left(\theta \right)}\right) = \sec^{2}{\left(\theta \right)}$$$:
$${\color{red}\left(\frac{d}{d\theta} \left(\tan{\left(\theta \right)}\right)\right)} = {\color{red}\left(\sec^{2}{\left(\theta \right)}\right)}$$Alltså, $$$\frac{d}{d\theta} \left(\tan{\left(\theta \right)}\right) = \sec^{2}{\left(\theta \right)}$$$.
Svar
$$$\frac{d}{d\theta} \left(\tan{\left(\theta \right)}\right) = \sec^{2}{\left(\theta \right)}$$$A
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