Differentiating e^xy is simple once you know how to apply the chain rule and product rule to it! Check out this video where you'll see step by step how to set up and find the derivative of e^xy with y being a function of x itself.
Breakdown of the steps:
0:01 - Applying the chain rule to a general exponential function of x
0:03 - Applying the product rule to implicitly differentiate (xy)
0:06 - Notice that f(x) in this case is the product (xy)
0:10 - Apply equation (1) to find the derivative in terms of (xy)
0:14 - Finish up by using equation (2) and substituting
0:18 - Optional: rewrite the derivatives of y as y'
Stay tuned for more!
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How to Differentiate e^xy #Shorts
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