fastter than that, is note that:
Differentiate this function f(x)= (4x)/(sqrt2x).
I know I use the quotient rule to differentiate this, this is what I have done so far:
(2x)^1/2 (0) - (4) [1/2(2x)^-1/2] divided by (2x)
0 - 2(2x)^-1/2 divided by (2x)
-(2x)^-1/2 divided by x
-2 divided by x^1/2 * x
-2 divided by sqrtx^3
Please help if something here is confusing because i dont know how to use Latex please tell I will try to show it more better.
Thanks
Nacho is pointing out that his approach and hint will work better. Instead, split it into a constant ( ) multiplied by a term in x ( )
So then you can just use the power rule. So before differentiating you have changed the function to
Can you differentiate that more easily?