Question

derivative: x^(x+1)^1/2

Answer 1

\[x ^{\sqrt{x+1}}\]

Answer 2

take log. then differentiate using chain rule and product rule.

Answer 3

ok thanks

Answer 4

\[\sqrt{x+1}/x + lnx/2\sqrt{x+1}\]

Answer 5

is that right?

Answer 6

http://www.wolframalpha.com/input/?i=Derivative+of+x%5E%28%28x%2B1%29%5E%281%2F2%29%29

Answer 7

derivative: x^(x+1)^1/2
(1/y)dy/dx=(x+1)^1/2 (x)^-1 +lnx/2(x+1)^1/2
dy/dy= y[(x+1)^1/2 (x)^-1 +lnx/2(x+1)^1/2], but y=x^(x+1)^1/2
dy/dx=[x^(x+1)^1/2] [(x+1)^1/2 (x)^-1 +lnx/2(x+1)^1/2] ans..

Answer 8

did you get it azalea?

Answer 9

your answer is correct except you need to multiply them by y=x^(x+1)^1/2

Answer 10

do you want me to show you?

Answer 11

thank you! can u please show me.