Final answer to the problem
$\sec\left(x\right)^2$
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Step-by-step Solution
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- Metodo FOIL
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1
Apply the trigonometric identity: $\frac{d}{dx}\left(\tan\left(\theta \right)\right)$$=\frac{d}{dx}\left(\theta \right)\sec\left(\theta \right)^2$
$\frac{d}{dx}\left(x\right)\sec\left(x\right)^2$
2
Apply the formula: $\frac{d}{dx}\left(x\right)$$=1$
$\sec\left(x\right)^2$
Final answer to the problem
$\sec\left(x\right)^2$
