How do you sketch the graph $y = e^{3 x} - 4 e^{x}$ $y=e^(3x)-4e^x$ using the first and second derivatives?

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Answer 1 · 2017-10-01T17:42:01

$y’=3e^(3x)-4e^x$
graph{3e^(3x)-4e^x [-10, 10, -5, 5]}
$y’’=9e^(3x)-4e^x$
graph{9e^(3x)-4e^x [-10, 10, -5, 5]}

$y’=3e^(3x)-4e^x$

$y’’=3.3e^(3x)-4e^x$

How do you sketch the graph y=e^(3x)-4e^xy=e3x−4exy=e^(3x)-4e^x using the first and second derivatives?