Graph the function, considering the domain, critical points, symmetry, relative extrema, regions where the function is increasing or decreasing, inflection points, regions where the function is concave upward or concave downward, intercepts where possible, and asymptotes where applicable. f(x) = -6x³-36x² +216x-12 Find the first and second derivatives of f(x). f'(x) = f''(x)= Choose the correct graph below. О А. 1500- 15 L400 Q Q OB. 1500- 30L400 30 Q CIE O C. -30 400- -1560- 30 Q O D. -15 1400- -1500- 15

Q: why the derivative of a constant function like f(x)=3 is always 0

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Q: Find an equation for the tangent line to the graph of the given function at (-3,1). f(x) = x² – 8…

A: Given: The function fx=x2-8and the point -3,1. To find: The equation of tangent line to the graph of…

Q: b. f(x) = (x³ + 2x² + 4) (x 4 − 3) c. f(x) = = 3x²-6x+7 4x-1 d. f(x) = (4x³- 7x)7 -

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Q: Graph y = - x“ + 2x² – 10 function using x- and y-intercepts, critical points, points of inflection,…

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Q: If f(x) - g(x) = 1, then f and g have the same derivative. O True O False

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Q: #1 Find the second derivative of each function 4x+2 a. a. f(x) Зх-6

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Q: Differentiate the function. g(x) = 3x 3 (x - 3x3 + 15x-8) %3D g'(x) = %3D

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Q: Graph the function, considering the domain, critical points, symmetry, relative extrema, regions…

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Q: Use the first, and second, derivative (given below) to find the intervals of increase/decrease and…

A: Follow step 2 and 3 .

Q: Find the derivative. ƒ(x) = (7xº + 7)³ 5 (7x6+7)°. (42x7 + 7x) 210x5 (7x6 +7) ¹ 4 4 05 (7x6+7) ¹ 5…

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Q: 3 (x),4 =(x)4 8x+3 Find the derivative of the following function.

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