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!

## Answer This Question

## Related Questions

- Calculus - Could someone please explain this to me? Differentiate. h(u)= 10^(...
- Calculus - Please look at my work below: Solve the initial-value problem. y'' + ...
- Calculus - Differentiate the given function. f(t)= 4(sqrt(t^3)) + 14/sqrt(t) - ...
- math calculus please help! - l = lim as x approaches 0 of x/(the square root of...
- calculus - Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x...
- Calculus - Differentiate the function. g(u) = sqrt(2)u+sqrt(7u) g'(u)=?
- calculus - Differentiate. sqrt((6x^2 + 5x + 1)^3)
- calculus - Differentiate. sqrt((6x^2 + 5x + 1)^3)
- Math Help please!! - Could someone show me how to solve these problems step by ...
- differential calculus - differentiate g(t)=3/sqrt(t)

More Related Questions