If f(x) = 6 In x: A. An estimate of f'(2) using the interval from 2 to 2.1 is B. An estimate of f'(2) using the interval from 2 to 2.01 is (Round all answers to two decimal places.)

Q: O Find the derivative for the function f(x): = 5 x

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Q: The graph of f is shown below. Let g(z) = | f(t) dt. Order g(6), g'(6), and g"(6) from smallest to…

A: Introduction: Differentiation under the integral sign is a calculus procedure for evaluating…

Q: The derivative of a function is f'(x) x(x + 2)(x - 4). Find the value of x at each point %3D where…

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Q: Given the graph of y = f(x), sketch the graphs of f' and f" on the same set of axis. 1.

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Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: onsider the points A = (-2, 3, -1) and B = (4, -2, 1). (a) Draw a 3D coordinate system that follows…

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Q: Evaluate the derivative at x = 1 for y = I (

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: 24. f(x) is a function such that f*(x) > 0 for x =0 and f"(0) is undefined. Sketch 2 different…

A: If f′′(x)>0 for x≠0, it means that the second derivative of f(x) is positive everywhere except at…

Q: The derivative of the given function is y = 2(32x)

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Q: 4. The graph below shows the tangent line to function f(x) at x=A (blue), and the secant line…

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Q: Estimate the true percent relative error for the first derivative of the function, y =[en(x)]², at x…

A: We can solve this using Central difference formula f'(x) = (f(x+h) - f(x-h))/(2h)     x 0.95 1…

Q: 1. a) Copy and complete the table below: Original Function First derivative Second Derivative y =…

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