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# Find the first and second derivatives of the function. Check to see that your answers are reasonable by comparing the graphs of $f, f',$ and $f".$$f(x) = e^x - x^3$

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Derivatives

Differentiation

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Samuel H.

University of Nottingham

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### Video Transcript

Hey, it's clear. So when you read here is so we have f of X is equal to I need to the ex minus X cubed We could differentiate when we get beat to the ex minus three X square And to get our second derivative, we just differentiate first we gotta eat the X minus six x We're gonna draw our graph up with them all together at once. So original function enough of X while doing black and I'll look like this are derivative is in red and our second derivative is in green.

#### Topics

Derivatives

Differentiation

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

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