Limits and Derivatives
Bihar Board · Class 11 · Mathematics
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Quick Quiz: Limits and Derivatives
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What is the definition of a limit of a function as x approaches a point?
What is the derivative of x²?
What does limx→0(sin x / x) equal?
What is the derivative of a constant function?
Sample Questions
Which of the following is true about limits?
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Limits can exist even if the function is undefined at that point
A limit describes the behavior of a function near a point, which can exist independently of the function's actual value at that point.
What does the product rule for derivatives state?
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Derivative of product = first function * second function's derivative + first function's derivative * second function
The product rule states that the derivative of a product of two functions is the first function times the derivative of the second, plus the derivative of the first function times the second function.
What is the derivative of sin(x)?
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cos(x)
The derivative of sin(x) is cos(x), which is a fundamental result in trigonometric derivatives.
What is the general form of the derivative of x^n?
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n * x^(n-1)
The power rule states that the derivative of x^n is n * x^(n-1), which works for any positive integer n.
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