Calculus
posted by Stuck .
Differentiate x5^sqrt(x).
Help please!

Calculus 
Reiny
not clear
is it
x(5)^√x ?? 
Calculus 
Stuck
Yes, basically, "x times 5 to the square root of x".

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