1. (a) Calculate the domain and evaluate the critical points of the function f (x) = 6x/3 –15x3 %3D

Q: Find the critical points of the function f(x)=x4−5x4+5x3−1.

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Q: A total-cost function is given by C(x) = 1700(x² +5)¹/³ +800 where C'(x) is the total cost, in…

A: the given cost function C(x)=1700(x2+5)(1/3)+800 , for the production of x airplanesrate of change…

Q: Find all relative extrema of f (æ) = 3x²/3 – 2æ %3D

A: Topic: differentiation

Q: For what value of x does the function f(x) =x³ – - 4x attain the absolute maximum in the interval…

A: Second derivative test: If the function f is twice-differentiable at a critical point x (i.e. a…

Q: The critical point for the function ƒ(x)= x² – 3x is

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Q: b) Find the general solution to the differential equation

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Q: 2 Determine and classify the critical point(s) for the function g(x) = x²(x − 3)²³.

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Q: 3. Determine the critical points of the function: (z+4) f (z) %3D (2z2+z+8) Enter your answer

A: Given is a function f(z) = (z+4)(2z2+z+8)   To Find: Critical points of the function f(z)

Q: f (x) = x² – 3x/3 [0,2]

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Q: b) Find the domains of the following functions. 3x + |x| i. G(x) =: ii. f(x) = {*+ 2 if x-1 iii.…

A: The solution are next step