TRUE / FALSE) If θ^ is an unbiased estimator of θ, f(θ^) is also an unbiased estimator of f(θ) where f is a continuous function.
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(TRUE / FALSE) If θ^ is an unbiased estimator of θ, f(θ^) is also an unbiased estimator of f(θ) where f is a continuous
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- The second derivative test fails when f" is zero or does not exist at the critical number of the first derivative and thus we use the 1st derivative test to determine local extrema. True or False?Which is not a derivative rule?please explain clearly how you determine the subset at which the derivative exists
- The function f(x) is differentiable on (0, 1) and satisfies f(0) = f(1). However, its derivative is never zero on (0, 1). Does this contradict Rolle’s Theorem? Explain.Shows that if a function f(x) is continuous in interval [a,b] then most likely the derivative of f(x) is also continuous at interval [a,b]What is the limit of the derivative of a function as the independent variable approaches a specific value?
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- show that the function is derivable and that the derivative is continuous.Suppose that f is a twice differentiable function (the function has a second derivative everywhere). True or False: If f''(a) = 0 then there is always a point of inflection at x = aFind the derivative of the function f(x)=1/x using limit definition derivative