Wednesday

July 30, 2014

July 30, 2014

Posted by **Amy** on Monday, June 29, 2009 at 8:21pm.

Using my notes, I came up with f'(x) = (1/2*square root of x)/x

The answer in the back of the book says f'(x) = (2+ln x)/(2*square root of x).

Can someone please explain how? Thanks.

- Calculus/Logarithms -
**Amy**, Monday, June 29, 2009 at 8:32pmI think I figured it out. I believe it's just a matter of applying the Chain Rule.

- Calculus/Logarithms -
**Damon**, Monday, June 29, 2009 at 8:37pmy = (x^.5) ln x

dy/dx = (x^.5) /x + ln x (.5 x^-.5)

but x^.5 / x = x^-.5 so

= (x^-.5) (1+.5 ln x)

= (1+.5 ln x) / x^.5

= (2+1 ln x)/2 x^.5

so I agree with the book.

**Related Questions**

calculus - 6. What is the derivative of y = square root of 3x ? a.dy/dx = square...

Math ~CHECK MY ANSWER~ - 1) Which of these is a rational number? a. Pi b. Square...

algebra - 1.)correct 2.)wrong---> the first term is wrong 4(3a^2)^2 = 36a^4 3...

Math simplifying mixed radicals - Please help me simplify these following mixed ...

Algebra - Rationalize each expression by building perfect nth root factors for ...

Algebra - Use the quadratic formula to solve the equation. Give exact answers: ...

Math - What is the square root of 12? 3.464 Well, that's true, but you could ...

Math - What are the solution sets of the following 3 problems,the square root of...

Math simplifying mixed radicals - Please help me simplify these following mixed...

Math - Just need some help... Directions: Multiply or raise to the power as ...