Posted by **Mae** on Monday, April 19, 2010 at 8:38pm.

Can someone explain how to find the derivative of :

1. y= 5^ãx / x

And the second derivative of:

y= xe^10x

For this question I got up to the first derivative and got this

y = e^10x + 10xe^10x but I can't seem to get the correct answer for the second derivative.

- sorry, the first question isnt showing up properly -
**Mae**, Monday, April 19, 2010 at 8:41pm
, its suppose to be

5^squarerootx / x

- Derivatives- Math -
**Reiny**, Monday, April 19, 2010 at 9:48pm
y = (5^(√x))/x

I would take ln of both sides

lny = ln (5^(√x))/x

lny = √x(ln5) - lnx

lny = (ln5)(x^1/2) - lnx

y' / y = (1/2)ln5(x^(-1/2)) - 1/x

y = [(5^(√x))/x][(1/2)ln5(x^(-1/2)) - 1/x]

(what a mess!)

for y = xe^10x

y' = e^10x + 10xe^10x is correct, now do it again

y'' = 10e^10x + 10(e^10x + 10xe^10x) , we just did that last part

= 20e^10x = 100xe^10x

## Answer This Question

## Related Questions

- math - For what intervals is g(x) = 1/x2 + 1 concave down? (Enter your answer ...
- calc - derivative of (x^3/6)+(1/2x)? i got (x^2/2)-(1/2x^2) is that correct? and...
- calculus - Find the first and second derivative - simplify your answer. y=x/4x+1...
- Applied Calculus - Find the first and second derivative of the function: x/(7x+...
- Calc I - if f(t)=sqrt(4t+1) find f''(2) I got the first derivative to be: 1/2(4t...
- calculus - Please help with this. I need the first derivative of f(x)=4(x+...
- Calculus (Help) - Also I would like to know how to set this problem up in ...
- Calculus - I need to find the second derivative of y=x(x-1)^1/2. I found the ...
- calculus - Differentiate both sides of the double angle identify sin 2x= 2 sin x...
- 12th Grade Calculus - Find d^2y/dx^2 by implicit differentiation. x^(1/3) + y^(...

More Related Questions