Question

derivative help!

Answer 1

Im here.

Answer 2

\[e ^{1-2x}\]

Answer 3

Ok so the rule with e is that that g(x)=e^f(x) then g’(x)=f’(x)e^f(x)+C

Answer 4

f(x)=1-2x f’(x)=-2

Answer 5

so. . . -2e^1-2x +c?

Answer 6

Yup.

Answer 7

ok. got it. you would't happen to know anything about natural logs would you?
the problem is the derivative of \[\ln \sqrt{x-1}\]

Answer 8

g(x)=ln.f(x) g’(x)=f’(x)/f(x)

Answer 9

i got this. . . .

Answer 10

\[\frac{ \frac{ 1 }{ 2\sqrt{x-1} }}{ \sqrt{x-1} }\]
which doesnt seem right

Answer 11

Because f(x)=(x-1)^-1/2 f’(x)=-1/2(x-1)^-3/2

Answer 12

right. . .

Answer 13

so the answer is -1/2(x-1)

how do we get rid of the ^-3/2?