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Funktion $$$\tan{\left(\theta \right)}$$$ derivaatta
Aiheeseen liittyvät laskurit: Logaritmisen derivoinnin laskin, Vaiheittainen implisiittisen derivoinnin laskin
Syötteesi
Määritä $$$\frac{d}{d\theta} \left(\tan{\left(\theta \right)}\right)$$$.
Ratkaisu
Tangenttifunktion derivaatta on $$$\frac{d}{d\theta} \left(\tan{\left(\theta \right)}\right) = \sec^{2}{\left(\theta \right)}$$$:
$${\color{red}\left(\frac{d}{d\theta} \left(\tan{\left(\theta \right)}\right)\right)} = {\color{red}\left(\sec^{2}{\left(\theta \right)}\right)}$$Näin ollen, $$$\frac{d}{d\theta} \left(\tan{\left(\theta \right)}\right) = \sec^{2}{\left(\theta \right)}$$$.
Vastaus
$$$\frac{d}{d\theta} \left(\tan{\left(\theta \right)}\right) = \sec^{2}{\left(\theta \right)}$$$A
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