- #1
gtfitzpatrick
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Homework Statement
if f(x,y) is e^(x+y) am i right in saying dy/dx is e^(x+y)
The general formula for differentiating e^(x+y) for x is e^(x+y).
To differentiate e^(x+y) for x, we use the chain rule. First, we take the derivative of the exponent (x+y) which is 1. Then, we multiply it by the derivative of the base (e^(x+y)) which is e^(x+y). Therefore, the final answer is e^(x+y).
No, you cannot use the product rule to differentiate e^(x+y) for x. The product rule is used for differentiating two functions that are multiplied together, but in this case, e^(x+y) is a single function.
No, the differentiation of e^(x+y) for x and e^x for x are not the same. The former involves differentiating a function with two variables (x and y) while the latter involves differentiating a function with only one variable (x).
No, there are no special cases to consider when differentiating e^(x+y) for x. The general formula (e^(x+y)) applies to all cases and there are no exceptions.