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

Differentiate x5^sqrt(x).

Help please!

- Calculus -
**Reiny**, Monday, March 22, 2010 at 10:22pm
not clear

is it

x(5)^√x ??

- Calculus -
**Stuck**, Monday, March 22, 2010 at 10:25pm
Yes, basically, "x times 5 to the square root of x".

- Calculus -
**Reiny**, 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 -
**Stuck**, Monday, March 22, 2010 at 10:45pm
Ah yes! Ok, I see what's going on. Thanks!

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