Could you show your attempt at differentiating the expression?Fairy111 said: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
The square root of 10 divided by 4 plus x can be expressed as sqrt[10/(4+x)].
To differentiate sqrt[10/(4+x)], we first rewrite the expression as (10/(4+x))^(1/2) and then use the power rule of differentiation to get (1/2)(10/(4+x))^(-1/2)(10/(4+x))', which simplifies to -5/(4+x)^2.
Yes, the expression sqrt[10/(4+x)] can be simplified to (2*sqrt[10])/sqrt(4+x).
The domain of sqrt[10/(4+x)] is all real numbers except -4, as (4+x) cannot be equal to 0.
The value of x affects the value of sqrt[10/(4+x)] by changing the denominator (4+x). As x increases, the denominator increases and the value of the expression decreases. As x decreases, the denominator decreases and the value of the expression increases.