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Calculus1 16 Online
OpenStudy (anonymous):

Multi1 Partial Derivatives question

OpenStudy (anonymous):

OpenStudy (anonymous):

what did you get for \(f_x\)?

OpenStudy (anonymous):

what is the first step to solve this problem?

OpenStudy (anonymous):

@electrokid

OpenStudy (anonymous):

Take the derivative of the function with respect to x, meaning the y will become just a variable

OpenStudy (anonymous):

ill do the Fx = 4x^3 + 10x y

OpenStudy (anonymous):

what did you do? derative?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

partial derivative of "f" with respect to "x", we differentiate a s if "y" is a constant term \[ f_x=4x^3+(5y)(2x) \]

OpenStudy (anonymous):

now when taking the partial derivative with "y", consider "x" as a constant term and give it a try

OpenStudy (anonymous):

f(xy)=x^4+5x^2y f(x)=4+10xy f(y)=5x^2

OpenStudy (anonymous):

when you put f(x) -> means f is a function of x \(f_x\) -> means a partial derivative of f with respect to x

OpenStudy (anonymous):

your forgot the x^3 after the 4 but that seems correct now you just plug in the points given to you

OpenStudy (anonymous):

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