Question

QUESTION 14 - 1 POINT Find the derivative of \( g(x)=2 \sec ^{-1}(x) \) at the point \( x=\frac{9}{5} \). (Enter an exact answer.) Provide your answer below: \[ g^{\prime}\left(\frac{9}{5}\right)= \] \( \square \) FEEDBACK Content attribution

          QUESTION 14 - 1 POINT
Find the derivative of \( g(x)=2 \sec ^{-1}(x) \) at the point \( x=\frac{9}{5} \).
(Enter an exact answer.)

Provide your answer below:
\[
g^{\prime}\left(\frac{9}{5}\right)=
\]
\( \square \)
FEEDBACK
Content attribution

QUESTION 14 - 1 POINT
Find the derivative of g(x)=2 sec ^-1(x) at the point x=(9)/(5).
(Enter an exact answer.)

Provide your answer below:

g^'((9)/(5))=

□
FEEDBACK
Content attribution

Added by Joseph Z.

Calculus with Concepts in Calculus

Denny Gulick, Robert Ellis 6th Edition

Chapter 3

Instant Answer

Solved by Expert Israel Hernandez

Step 1

The derivative of the inverse secant function, \( \sec^{-1}(x) \), can be found using the formula: \[ \frac{d}{dx} \sec^{-1}(x) = \frac{1}{|x|\sqrt{x^2 - 1}} \] for \( |x| > 1 \). Show more…

Show all steps