Suppose f is continuous everywhere, f’ is differentiable everywhere except at x = -1, and the graph of y = f’(x) is in the photo attached. What is the slope of the normal line of f at x = 4? Provide a brief justification for your answer.

Q: LA3] Given the function f(x) = 2x5 – 5x*, use the second derivative test with an interval table to…

A: Check sign of second derivative for concave up or down.

Q: Consider the graph of y = f(x) shown below in blue. Drag the movable red point to approximate the…

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Q: The figure below shows the graph of f. Match the derivatives in the table with the points a, b, c,…

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Q: When the graph of the derivative is positive then the graph of the antiderivative will be…

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Q: Find the third derivative of ƒ (z) = VT2z+I. f" (z) =

A: We use the exponent rule and chain rule.

Q: Can anything be said about the graph of a function y = ƒ(x) that has a continuous second derivative…

A: given

Q: Consider the function f in Example 2 in this section. What is f' (1)? f'(1) = -2 What is the average…

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Q: Find all the x- values where Whe tangent lines are horizontal (ie, all the x's uhere fi6s)=0

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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: A rectangular plate OPQR is bounded by the lines x = 0, y = 0, x = 4, y = 2. Determine the potential…

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Q: Suppose you khow the three facts. f' (2) = 9 f'(3) = 0, and f(4) = -2. What can you say about the…

A: Note that if f has any extreme value then at that f' will be zero

Q: Find the linear approximation of f(x) = ln x at x = 1 and use it to estimate In(1.04).

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Circles with center at the origin. Ans: xdx + ydy = 0 (I need solutions)

A: Solution:-     We know that  The equation of a circle with center   at (h,k)  and radius  r is…

Q: Please see the attached image and answer the

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Q: 3. Express the derivative of f (x) = Vx as a limit of the difference quotient ("h → 0")

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Q: Is there anything special about the derivative of an odd differentiable function of x? Give reasons…

A: First of all, assume the function f (x).Then use the property of odd function to find f (x).

Q: The graphs of a function f and its derivative f' are shown. Which is bigger f (-1) of f'(1)? See…

A: Given : The graph of f (x) and f ' (x) .   To determine :   Which is bigger : f (-1) and f ' (1) .

Q: Let f be a function with f(5) = -2 and whose derivative is If f '(x) = 5x - 9. %3D %3D А. Write a…

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Q: graph

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Q: The graph of f' (not f) is given below. At which of the marked values of x is A. f(x) greatest? x =…

A: From the given graph, we have to marked values of x.

Q: If f and g are inverse functions and if f (x) = 7 and f' (x) = when x = -3, give the equation of the…

A: The equation of normal line is 4x+3y-19=0