Diffrentiation

[Nccelestine1]

What is the derivative of COSyEXPx

 

[Deleted member 4993]

What is the derivative of COSyEXPx

Is your function:

z(x,y) = cos(y) * e^x

If it is (as indicated by your post) - then you have a function of two variables and you need to perform "partial differentiation". The word "derivative" (without an adjective in front of it) - does not make sense in this case.

Please post the complete problem and:

Please share your work with us ...

If you are stuck at the beginning tell us and we'll start with the definitions.

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[HallsofIvy]

What is the derivative of COSyEXPx

It would be a lot simpler if you would state the problem as given to you! There is no such thing as "The derivative of \(\displaystyle cos(y)e^x\)".

If you mean the partial derivative with respect to x then it is \(\displaystyle cos(y)e^x\). If you mean the partial derivative with respect to y then
it is \(\displaystyle -sin(y)e^x\).

If you intend y as a function of x, then the "total derivative of \(\displaystyle cos(y)e^x\)" is \(\displaystyle cos(y)e^x- sin(y)e^x \frac{dy}{dx}\). Which do you mean?