Remember that when differentiating a term with y, we need to multiply by y' (also written as dy/dx).
Differentiating both sides, we get:
$$\frac{d}{dx}(16e^y) = \frac{d}{dx}(x^4 + y^5)$$
Now, differentiate each term:
$$16e^y \frac{dy}{dx} = 4x^3 + 5y^4
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