# Find the equation of the tangent line to the curve y=x^4+2 e^x at the point (0,2)?

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Now, remember these rules:

It is important to keep in mind that

=>

=>

We now plug in

=>

=>

=>

=>

Now, we need to write the equation of the slope.

We use the following information:

We have:

=>

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#### Explanation:

at

Here is the graph: https://www.wolframalpha.com/input/?i=plot+%7By%3Dx%5E4%2B2+e%5Ex,+y+%3D+2x+%2B+2%7D

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