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    hi, i am annoyed that I have forgotten how to differentiate easy stuff, like e^((x^2)y)

    just show me d/dx of it, and show me a bit how you did it

    (rep for first who shows me, and is right ofc :P)
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    (2xy+x^2.dy/dx)e^((x^2)y)

    I think because e^whatever is the same and then you multpily by the differential of the power where u have to use the product rule
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    (Original post by Jukukiwaiyi)
    hi, i am annoyed that I have forgotten how to differentiate easy stuff, like e^((x^2)y)

    just show me d/dx of it, and show me a bit how you did it

    (rep for first who shows me, and is right ofc :P)
    Use the chain rule. Let u=x^2y. Then y=e^u. By the chain rule,
    dy/dx = dy/du x du/dx = e^u x du/dx. For du/dx, use the product rule, eg, du/dx = 2xy + x^2 dy/dx. Then just substitute this back in, so dy/dx = [2xy+x^2 dy/dx]e^(x^2y), then just collect like the dy/dx etc
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     \frac{d}{dx} (y^2 ) = 2y\frac{dy}{dx}

    Hope that helps, just use product rule.
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    thanks for help guys
 
 
 
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Updated: January 19, 2010
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