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If y = sin^(-1)(x), what is dy/dx?
If y = sin^(-1)(x), what is dy/dx?
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Practice Questions
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Q1
If y = sin^(-1)(x), what is dy/dx?
1/sqrt(1-x^2)
1/(1-x^2)
sqrt(1-x^2)
1/x
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The derivative of y = sin^(-1)(x) is dy/dx = 1/sqrt(1-x^2).
Questions & Step-by-step Solutions
1 item
Q
Q: If y = sin^(-1)(x), what is dy/dx?
Solution:
The derivative of y = sin^(-1)(x) is dy/dx = 1/sqrt(1-x^2).
Steps: 4
Show Steps
Step 1: Understand that y = sin^(-1)(x) means y is the angle whose sine is x.
Step 2: To find dy/dx, we need to use the derivative formula for the inverse sine function.
Step 3: The formula for the derivative of y = sin^(-1)(x) is dy/dx = 1/sqrt(1 - x^2).
Step 4: This formula tells us how y changes with respect to x.
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