derivative of f(x)=tan(x)

{ "query": { "display": "derivative of $$f\\left(x\\right)=\\tan\\left(x\\right)$$", "symbolab_question": "PRE_CALC#derivative f(x)=\\tan(x)" }, "solution": { "level": "PERFORMED", "subject": "Calculus", "topic": "Derivatives", "subTopic": "Derivatives", "default": "\\sec^{2}(x)", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{d}{dx}\\left(\\tan\\left(x\\right)\\right)=\\sec^{2}\\left(x\\right)$$", "input": "\\frac{d}{dx}\\left(\\tan\\left(x\\right)\\right)", "steps": [ { "type": "step", "primary": "Apply the common derivative: $$\\frac{d}{dx}\\left(\\tan\\left(x\\right)\\right)=\\sec^{2}\\left(x\\right)$$", "result": "=\\sec^{2}\\left(x\\right)" } ], "meta": { "solvingClass": "Derivatives", "practiceLink": "/practice/derivatives-practice", "practiceTopic": "Derivatives" } }, "plot_output": { "meta": { "plotInfo": { "variable": "x", "plotRequest": "y=\\sec^{2}(x)" }, "showViewLarger": true } }, "meta": { "showVerify": true } }