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Find the derivative of f(x) f(x) .\newlinef(x)=tan⁡(x) f(x) = \tan(x) \newlinef′(x)= f'(x) = ______

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Q. Find the derivative of f(x) f(x) .\newlinef(x)=tan⁡(x) f(x) = \tan(x) \newlinef′(x)= f'(x) = ______
  1. Apply derivative rules: To find the derivative of f(x)=tan⁡(x)f(x) = \tan(x), we need to apply the derivative rules for trigonometric functions.\newlineThe derivative of tan⁡(x)\tan(x) is sec⁡2(x)\sec^2(x).\newlineSo, f′(x)=ddx(tan⁡(x))=sec⁡2(x)f'(x) = \frac{d}{dx}(\tan(x)) = \sec^2(x).

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