Find the intervals where f(x) = x* + 2x3 – 3x2 – 4x + 4 increases

Q: Find the domain of * y = V2x +12 ?

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Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: A car's movement is represented by the function 2x3 + 6x2 + 2x + 3 in kilometers reco at an hourly…

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Q: The function f1x2 = x2 is decreasing on the interval

A: fx=x2 Differentiating with respect to x, we get f'x=2x

Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: Let /(x) = 7 - 9x - 20. Find f(-3)

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Q: Find f(-3), given x-2 げrs -1 f(x)3D| 3x+1 げェ>-1)

A: We need to find out f(-3) here x=-3 that means x≤-1.

Q: Find the intervals in which the function f(x) = 4x -6x² +3 is increasing /decreasing.

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Q: Let f(x) = x* + 5x³ + 8x² + 3x.

A: The power derivative of y=xn  is given by, y'=dydx=ddxxn =nxn-1 Linear property of differentiation:…

Q: If f(3x)=4x+1 , determine f(7x)

A: f(3x)=4x+1

Q: Determine what x = 5 is (max/min/neither) of the function f (x) = 2x2 − 3x + 9

A: Given f (x) = 2x2 − 3x + 9

Q: Find p(- 2) and p(3) for function p(x) = x ^ 3 - x ^ 5

A: We have given function as  p(x)=x3-x5   We have to find p(-2) And p(3)