# Calculus

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Differentiate x5^sqrt(x).

• Calculus -

not clear
is it

x(5)^√x ??

• Calculus -

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

• Calculus -

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 -

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

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