2x Given f(x)= x? +1' XER. Prove from definition, that (--0, –1), (1, +∞) the function f is decreasing in intervals function f is decreasing if f(x)> X1, X2 E D

Q: h(띠)= Jo 2+t+2 h(피) t2 +t+2 2)

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Q: --1/0 -1 -1 1,0

A: As we can see  in the figure the tangent line passes through the point x=2. Slope of tangent line…

Q: B 4a X A 66° 20

A: The given figure is -  We have to find the value of 'x'.

Q: find the absolute extrema of the function f(x) = x^2 - 6x on the intervals [- 1,6], (3,7], (0, 6),…

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Q: Consider the interval [-2, -1].  According to the Intermediate Value Thereom, which of the following…

A: Intermediate Value Theorem:- If a function f(x) is continuous on the interval (a,b) and have value…

Q: Consider the functions f(x)= [x²-9 x*-1 2x ; x=-1 and (3x+2 g(x) = { x=-1 Define the new function…

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Q: For the function f(x) =-X find f"(X), f"(0), f’"(1), and f"(- 1). "(X) = O I7

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Q: Q9- Find the turning points of the function f(x,y)=x^2+ 2xy and state whether the points are max,…

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Q: f(x) = 2 sec (-) + 1 2

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Q: On which interval(s) is the function h(t) = (−t^3) + 3(t^2) + 24t − 11 decreasing?

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Q: Suppose f(x)=x^4+3x+1 on the interval [−4,−1]. Find x when f′(x)=0.

A: Given function is Differentiating with respect to x , we get

Q: let f(x)= X4+1 a find f'() + simplity

A: Givenf(x) = x4 + 1x2

Q: Assume that the function f is a one-to-one function. (a) If f(5) = 2, find f-'(2). Your answer is…

A: Given that to he function f is one-to-one function.

Q: What are intervals of concavity of the function f(x) = -2x + 6x² – 3 ? a. Concave upward on (-1, o0)…

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Q: Use the graph of f(x) to find the interval where f''(x) > 0. Ⓡ 3- 2- 1- ms -5 -4 -3 -2 -1 1 3 4 5 A.…

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

Q: f(x) = x(6 – x)-

A: Given :f(x)=xa(6-x)b 0≤x≤6