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If \( y = \sec^{-1}(x) \), what is \( \frac{dy}{dx} \)?
If \( y = \sec^{-1}(x) \), what is \( \frac{dy}{dx} \)?
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Practice Questions
1 question
Q1
If \( y = \sec^{-1}(x) \), what is \( \frac{dy}{dx} \)?
\( \frac{1}{
x
\sqrt{x^2-1}} \)
\( \frac{1}{x\sqrt{x^2-1}} \)
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The derivative of \( y = \sec^{-1}(x) \) is \( \frac{1}{|x|\sqrt{x^2-1}} \).
Questions & Step-by-step Solutions
1 item
Q
Q: If \( y = \sec^{-1}(x) \), what is \( \frac{dy}{dx} \)?
Solution:
The derivative of \( y = \sec^{-1}(x) \) is \( \frac{1}{|x|\sqrt{x^2-1}} \).
Steps: 0
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