Differentiate the following: sqrt[10/(4+x)]

[Fairy111]

i need to differentiate the following:

sqrt[10/(4+x)]

so i re-wrote it as:

[10(4+x)^-1]^1/2

but am getting very confused when i try to differentiate it.

any help would be great! cheers

 

[Hootenanny]

i need to differentiate the following:

sqrt[10/(4+x)]

so i re-wrote it as:

[10(4+x)^-1]^1/2

but am getting very confused when i try to differentiate it.

any help would be great! cheers

Could you show your attempt at differentiating the expression?

 

[HallsofIvy]

Step by step using the chain rule
What is the derivative of u^-1/2?

What is the derivative of v^-1?

 

[Fairy111]

well first i differentiated 10(4+x)^-1
which is -10(4+x)^-2

but i don't know how to include the sqrt...