(a) Find the local extrema of the function fx) - 2sins on the interval Osxs2n, and say where they occur. (b) Graph the function and its derivative together. Comment on the behavior of f in relation to the signs and values of t'.

Q: a. Find the derivative of f at x. That is, find f'(x). b. Find the slope of the tangent line to the…

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Q: Consider a quadratic function f(x) = ax?+ bx + c, where a, b, CER and a # 0. She hat the tangent…

A: f(x)=ax2+bx+climit definition of derivative states that :f'(x) =limh→0f(x+h)-f(x)hf'(x) =limh→0…

Q: 0.5 -0.5 0.5 --0.5-

A: Local maximum of the function.

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Q: a. Find the local extrema of each function on the given interval, andsay where they occur.b. Graph…

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Q: 5. Let f(x) = 5x4 -+ 8Vx - 3. x2 (a) Find f'(x). (b) Find an equation for the tangent line to the…

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Q: 4) Find all values in the interval [-27,27]at which the graph of f has a horizontal tangent line.…

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Q: 16. Use addition of y-coordinates to sketch the graph of the function between x = 0 x = 4 T and 1 x+…

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Q: a. Find the local extrema of each function on the given interval, andsay where they occur.b. Graph…

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Q: Consider the function f(x) = 3cos(2x). (a) Find the derivative of f(x). (b) Verify that the…

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Q: f (x) = -1 -1+ x + 4x² cos (:) når x # 0 når x = 0.

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Q: 1 Let f(x) X - 1 (a) Find the derivative f 'of f. 1 f '(x) = (x – 1) X* (b) Find an equation of the…

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Q: A graph of yY = f(x) is shown. In the same coordinate system, sketch a graph of the derivative func…

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Q: Let g be a differentiable function such that g(1) = 3. We have computed its derivative as x2 g' (x)…

A: Given that g be a differentiable function such that g(1) =3  Derivative of g(x) is g'(x)=x22sinπx2

Q: (6) _If f'(a)=0, then the tangent of the function f at x=a is a horizontal line.

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.