derivative of f(x)=5^x

{ "query": { "display": "derivative of $$f\\left(x\\right)=5^{x}$$", "symbolab_question": "PRE_CALC#derivative f(x)=5^{x}" }, "solution": { "level": "PERFORMED", "subject": "Calculus", "topic": "Derivatives", "subTopic": "Derivatives", "default": "5^{x}\\ln(5)", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{d}{dx}\\left(5^{x}\\right)=5^{x}\\ln\\left(5\\right)$$", "input": "\\frac{d}{dx}\\left(5^{x}\\right)", "steps": [ { "type": "step", "primary": "Apply the derivative exponent rule: $$\\frac{d}{dx}\\left(a^x\\right)=a^x\\ln\\left(a\\right)$$", "result": "=5^{x}\\ln\\left(5\\right)" } ], "meta": { "solvingClass": "Derivatives", "practiceLink": "/practice/derivatives-practice", "practiceTopic": "Derivatives" } }, "plot_output": { "meta": { "plotInfo": { "variable": "x", "plotRequest": "y=5^{x}\\ln(5)" }, "showViewLarger": true } }, "meta": { "showVerify": true } }