Question

Derivative Help!
f(x)=sqroot(1-2x)
I will fill in what I have done

Answer 1

ok

Answer 2

so you know f(x) = (1-2x)^(1/2) (apply the power rule to get (1/2)(1-2x)^(-1/2)(-2) make it cleaner to obtain -(1-2x)^(-1/2) (get rid of the negative exponents to finally obtain

f'(x) = -1/(sqrt(1-2x) :)

Answer 3

compare it to your answer

Answer 4

\[f \prime= \lim_{h \rightarrow 0} \frac{ \sqrt{1-2(x+h)}-\sqrt{1-2x} }{ h } * \frac{ \sqrt{1-2(x+h)}+\sqrt{1-2x} }{ \sqrt{1-2(x+h)}+\sqrt{1-2x} }=\frac{ -2 }{ \sqrt{1-2(x+h)}+\sqrt{1-2x}}\]

Answer 5

it cut it off hang on I am stuck at this point

Answer 6

your good man

Answer 7

but

Answer 8

this is where i get stuck
\[\lim_{h \rightarrow 0}\frac{ -2 }{ \sqrt{1-2(x+h)}+\sqrt{1-2x} }\]

Answer 9

yeah your perfect sub h as 0 now

Answer 10

because this is a limit problem ans since the last 2 entries are the same 2 at the bottom and the top will cancel out and you have my answer :)

Answer 11

got it i guess i was trying to make it harder than it needed to be thanks