(b) Suppose that f(x) = 2x^2 − x^4 . Find the intervals on which f is increasing and those on which it is decreasing.

Q: If f(x) = cos x + sin x, what is f"" (x)? 46 f""(x) = sinx- cos x f"" (x) = sin x + cos x o f(x) =…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let f(x) be a one-to-one function such that f(2)=5 and f'(2)=-4.  Find f(-1)'(5)

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Q: Let .f(x) = - 4 cos? x f'(x) =

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Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(5) = 0 f(x) =

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Q: The domain of the function f(x)= tanh(18 - ) is (289, A), Then The value of k= %3D The value of A =

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Q: Show that f-(A U B) = f-'(A) U f-'(B) and f-1(A n B) = f-'(A) nf-'(B) for any function f. Is the…

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Q: Step 4 To find (f-l)'(x) use the theorem that states that if f is differentiable on an interval I…

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Q: The function f(x) = x^2 is decrea sin g on (- ∞,0)  True or False

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Q: Consider the function Suppose that g(6) = ƒ' (6) = f(x) = (1 + sin(x)) (*) -9 and g'(6) - 4.

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Q: nd an example of a function f(x) such that the third derivative f"(x) is equal to 0 for all x, and…

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Q: es of f'(-7), f'(-4) & f'(-2)

A: at x= -7 graph is increasing At x = -4 graph gives local Maxima At x = -2 graph is decreasing

Q: Suppose f and g are one-to-one functions such that f(2) = 7, f(4) = 2, and g(2) = 5. Find the value,…

A: We have given functions f and g are one-to-one. Then, a. gof-17=gf-17=g2=5 b. fog-15=fg-15=f2=7

Q: 1 3. Given f (x) =-x + 4: 3 a) Determine the inverse. I 12] b) State the range of f (x). [ /1] c)…

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Q: Differentiate the functions. a) f(x) = 2 – 5x + b) f(x) = e* + sinx c) f(x) =

A: Differentiate wrt x

Q: et f(x)=-11sin x+3 cos x f' (x)=?

A: f(x)=-11sin x+3 cos x this is given  we have to differentiate the function  dsinx/dx = cosx…

Q: For the given functions f and g, find the requested composite function. 5 3) f(x)=- x+6' 8(x) = Find…

A: The given functions are; f(x)=5/(x+6), g(x)=3/4x

Q: Let h(x) = tan(3x + 7). Then n'(5) is and h'"(5) is

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Q: Let f(x) = – 7 cos(cos æ) %3| f'(x) =

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Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(7) = 0 f(x) =

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Q: f(x) = 1/(1+e^1/x) a) Find the domain of f. b) Find the inverse of f.  c) Find the range of f.

A: a) Domain is possible values of x.For 1/x we can not have zero in denominator. So, domain is all…

Q: f'(x) = f(x) = cos(2x + 3)

A: Given query is to find the derivative.

Q: f(x) 9(2) where f(-3) = 7, f' (-3) = –9, 9(-3) = –2, and g'(-3) = 1. What is h' (-3)? Let h(x) Do…

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