Question

easy differentiation help

Answer 1

differentiate
\[2\sqrt{1-x}\]

Answer 2

we can write your function as below:
\[\Large f\left( x \right) = 2{\left( {1 - x} \right)^{1/2}}\]
now, in order to compute the first derivavtive, we have to apply the chain rule

Answer 3

derivative*

Answer 4

for example, I set y=1-x
so the first derivative of your function will be this:
\[\Large f'\left( x \right) = \frac{{df}}{{dy}} \times \frac{{dy}}{{dx}},\quad f\left( x \right) = 2{\left( y \right)^{1/2}},\;y = 1 - x\]

Answer 5

\[\frac{ (2)(-1) }{ 2(\sqrt{(1-x)} }\]
\[= \frac{ (-1) }{ (\sqrt{(1-x)} }\]

Answer 6

that's right!