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# Show that the curve $y = 2e^x + 3x + 5x^3$ has no tangent line with slope 2.

## No

Derivatives

Differentiation

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### Video Transcript

Hey, it's Claire. So when you're in here so our first gonna find the derivative in terms of X, we get to eat the X Plus three plus 15 X Square. Now he's stuck this equal to two. Since we're solving for a slope of two. When we see that there's no, um, solution, since the smallest the function can ever be is why is equal to three?

#### Topics

Derivatives

Differentiation

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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