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boportsmouth7908
26.10.2019 •
Mathematics
Partial derivatives (35 pts):
could someone explain me why this partial derivative gives me this solution. i already have the answer but i don't really get how it works without working out the brackets.
![\frac{du}{dy} (4(x + 5) {(y + 5)}^{2} ) = 4(x + 5)2(y + 5)](/tex.php?f= \frac{du}{dy} (4(x + 5) {(y + 5)}^{2} ) = 4(x + 5)2(y + 5))
could someone explain me the rule?
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Ответ:
A partial derivative of a function of several variables is a derivative of one of those variables.
Ответ:
The answer is in the notation du/dy. It states the change in U based on the change in Y. so it is not asking for the change in X therefor we can view 4(x+5) as a constant instead of a variable. It might look better if you looked at it like this f(u)=4(x+5)(y+5)^2 so du/dy we just want the derivative of Y so ignore the rest and just do the derivative where Y is involved (y+5)^2 which is 2(y+5) then add in the rest of the equation because it is considered a constant. An example of this is like f(u)=10(y+5)^2, f'(u)=du/dy=(10)(2)(y+5). Hope that helps explain it better.
Step-by-step explanation:
Ответ:
x = 58°
Step-by-step explanation: