- #1

- 95

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Please help

Differentiate exp(xy) w.r.t x

Thanks

Differentiate exp(xy) w.r.t x

Thanks

- Thread starter j-lee00
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- #1

- 95

- 0

Please help

Differentiate exp(xy) w.r.t x

Thanks

Differentiate exp(xy) w.r.t x

Thanks

- #2

- 2,063

- 2

You need to show your work/attempt.

And is y a function of x, or are x and y independent variables?

And is y a function of x, or are x and y independent variables?

- #3

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exp(xy) = 0

i thought i would write it out but i dont know how to write the mathmatical symbols on screen

- #4

- 2,063

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Okay, then, use a (') to show a derivative. For example, y' will be the derivative of y w.r.t x.i thought i would write it out but i dont know how to write the mathmatical symbols on screen

Do you know how to differentiate the exponential function?differentiate implicitly

exp(xy) = 0

- #5

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exp(x)*exp(y)*y'+exp(y)+exp(x)

- #6

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What's the derivative of exp(f(x))?

- #7

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i dont know i think thats my problem

- #8

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i presume f'(x)*exp(f(x))

- #9

- 367

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That's correct!

Now substitute f(x) = xy. What do you get?

Now substitute f(x) = xy. What do you get?

- #10

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ah thanks just forgot this simple derivation

- #11

Mute

Homework Helper

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There is a problem with your implicit equation there: exp(xy) is never zero, it only approaches it asymptotically. (So technically, the surface doesn't exist, so neither does the derivative!)

exp(xy) = 0

i thought i would write it out but i dont know how to write the mathmatical symbols on screen

But otherwise, you can just do what you did to get a derivative for other surfaces of exp(xy), e.g. exp(xy) = 5, which will produce a surface, and so the derivative will exist and you'd get the same derivative as if you tried to differentiate exp(xy) = 0.

- #12

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the full equation is x + y + exp(xy) = 0

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