Let f(x) be a polynomial function, whose derivative is given by f'(x). Let line q be the line passing through the point (c, f(c)), whose slope is f'(c). Then, line q intersects the graph of f(x) only at the point (c, f(c)). (True or False)

Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative…

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or…

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A: The given function is

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A: Topic = Functions

Q: The fourth derivative for * 3 points y = x3 - 3x2 + 2 are 6x-6

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A: To find the equation of the line tangent to the graph y=xx+1 at the point 4,25

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Q: find the derivative of f(x) = (x² +4)(3x³-2x) at the point x =- 3[use product rule]

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A: Here we have given the curve of f(x)  Now to determine all x value where  f"(x) > 0

Q: The derivative of the function f (x) = (x-1 – 2)(3 – Vx ) is, %3D 2x2 – x – 6/x A. fi(x) %3D 2x2+…

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Q: Use the graph of f(x) to find the interval where f''(x) > 0. -5 -4 -3 -2 -1 3- 2- 2 -3₂ 4 T 5 A.…

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