Question

ap calc question. medal reward. question will be provided.

Answer 1

find the derivative of \[\sec ^{-1}\sqrt{x}\]

Answer 2

do you know chain rule ?

Answer 3

yes

Answer 4

derivative of sec x ?

Answer 5

sorry
derivative of sec inverse x ?

Answer 6

yeah thats what i dont know.

Answer 7

???

Answer 8

\(
\large

\frac{d}{dz} sec^{-1} z = \frac{1}{z^2\,\sqrt{1 - z^{-2}}}; \quad z \neq -1, 0, +1
\)

Answer 9

i thought it was\[\frac{ 1 }{ x \sqrt{x ^{2}-1} }\]

Answer 10

its the same thing
use the one you posted

Answer 11

how do you incorporate the \[\sqrt{x}\]

Answer 12

using chain rule
,
you multiply the derivative result by derivative of \(\sqrt x\)

Answer 13

so \[\frac{ 1 }{ 2\sqrt{x}}\]

Answer 14

\(\huge \dfrac{ 1 }{ \sqrt x \sqrt{x-1} }\times \dfrac{1}{2\sqrt x}\)

Answer 15

and simplify

Answer 16

alright thanks

Answer 17

welcome ^_^