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What is the derivative of y = sin^(-1)(x)?
What is the derivative of y = sin^(-1)(x)?
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Practice Questions
1 question
Q1
What is the derivative of y = sin^(-1)(x)?
1/√(1-x^2)
1/(1+x^2)
1/(1-x^2)
√(1-x^2)
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The derivative of y = sin^(-1)(x) is 1/√(1-x^2)
Questions & Step-by-step Solutions
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Q
Q: What is the derivative of y = sin^(-1)(x)?
Solution:
The derivative of y = sin^(-1)(x) is 1/√(1-x^2)
Steps: 4
Show Steps
Step 1: Understand that y = sin^(-1)(x) means y is the inverse sine function of x.
Step 2: Recall the formula for the derivative of the inverse sine function, which is dy/dx = 1/√(1 - x^2).
Step 3: Apply the formula directly to find the derivative of y = sin^(-1)(x).
Step 4: Write the final answer as dy/dx = 1/√(1 - x^2).
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