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Differentiate each of the following from...

Differentiate each of the following from first principle: `e^(3x)`

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`f'(x)=frac{f(x+h)-f(x)}{h}`
`=lim_(h->0)frac{e^(3(x+h))-e^(3x)}{h}`
`=lim_(h->0)frac{e^(3x)(x+h) -e^(3x)}{h}`
`=lim_(h->0)frac{e^3x(e^(3h)-1)3}{3h}`
`=3e^(3x)`
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RD SHARMA-DERIVATIVES-Solved Examples And Exercises
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