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Posted by on Monday, March 22, 2010 at 10:09pm.

Differentiate x5^sqrt(x).

Help please!

  • Calculus - , Monday, March 22, 2010 at 10:22pm

    not clear
    is it

    x(5)^√x ??

  • Calculus - , Monday, March 22, 2010 at 10:25pm

    Yes, basically, "x times 5 to the square root of x".

  • Calculus - , Monday, March 22, 2010 at 10:32pm

    use the product rule,
    you will have to know how to differentiate a function of the type y = a^u, where a is any positive number
    so
    y = (x)(5^√x)
    dy/dx = x (5^√x)(ln5)(1/2)(x^)(-1/2) + 5^√x

  • Calculus - , Monday, March 22, 2010 at 10:45pm

    Ah yes! Ok, I see what's going on. Thanks!

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