1. Find the intervals on which the following functions have an inverse: (a) f(x) = H2-. (b) f(x) = sin? r.

Q: Suppose f"(x) = - (sin(x)), ƒ'(0) = –2, and f(0) = -3. %3D Find f(1/4).

A: Given,          Suppose f''x=-sinx , f'0=-2 and f0=-3.

Q: 1 f(x)= sinx+cos 2x, 0<x< - which of the following statement best describe the function

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Q: If f (x) = cos(3x), then f' (-) is equal to

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Q: What is the range of the function f(æ) = 23 sin 4w+1 ?

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Q: It is known that the range of the function f(x)= a sinx+1 for xER is -2<f(x)≤4, then a = ?

A: Given fx=asin x+1,     ∀x∈ℝ range of fx is -2≤fx≤4

Q: On the graph of f(x)=tanx and the interval [0,2π), for what value of x does the graph meet the…

A: x 0 π4 3π4 π2 π 5π4 3π2 7π4     tanx 0 1 3 ∞ 0 -1 -∞ -3

Q: 1 Find f"(x) for the function f(x) %3D (2+sin x)=

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Q: Find the intervals on which the function is increasing or decreasing. f(x)=sin x + cos x,…

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Q: 2. The height of a toy that moves up and down on a spring can be modeled by the function y = – cos x…

A: sin 2x =2sin x cos x

Q: What is special about the functions f(x) = sin x - 1 x + 1' x 2 0, and g(x) = 2 tan Vĩ? -1 Explain.

A: Given that functions are f(x)=sin-1x-1x+1, x≥0 and g(x)=2tan-1(x). The graph of the function…

Q: 3. Compute 4 (sin? x + cos? x) without using the derivative formulas for sin x and cos x.

A: Given:

Q: Which of the following limits represents the slope of the tangent line to the following function 2…

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Q: Determine values of a and b that make the given function continuous: if x 3

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Q: Apply the method of Example 6 to f (x) = sin x to determine f ' ( π/4 ) accurately to four decimal…

A: Given function is fx=sinx. To determine f'π4. Solution: Function is fx=sinx. Differentiating the…

Q: Is the function f(x)=sin(3x)+cos(tan x) even, odd, or neither? Why?

A: Recall: A function f(x) is even if  f(x) =f(-x). A function f(x) is odd if f(x)=-f(-x)

Q: Find the open intervals on which the function is increasing or decreasing.     f(x) = cos 3x/2 , 0…

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Q: The derivative of f(x) = tan- is: Select one: O a. O b. O C. O d. 1 x² cos² 1 -1 x² cos² 1 xcos² 1 F…

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Q: On the graph of f(x) = tanx and the interval [ − π, π ), for what value(s) of x does f(x) = 1?

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)

A: Obtain the first and second derivative of the given function as follows.

Q: Find the range and domain of the functions (1) f (x, y) = sin-(y-x)

A: We'll answer the first question. Since the exact one hasn't specified. Please re-submit the question…

Q: findthe domain of the function. f(x)=\sin e^{-x}

A: The domain of a function is the values of the variable that can be input into the function. The…

Q: 4. For what values of x does the graph of f have a horizontal tangent if f(x) = V3 x – 2 sin(x).

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Q: 1. please show steps and  please write clearly

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Q: Suppose, f'(x)= 2 cos x+sec x, -7<x<, and it is known that and it is known that f()=4. Find the…

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Q: The derivative of In (cos x) is A -tan x B None of the given choices tan x D sec x -sec x

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Q: Q3/Discuss the behavior of the following function as x 0: f) = sinx

A: Please rate and feel free to ask any query about any part of the question

Q: cos x if x 0

A: We have to find the reason

Q: Calculate h(x) if f(x) = x+3 and g(x) = sin(3x). Let h(x) = g(f(x)). What is h-1(x)? What is…

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Q: Prove by finding the derivative of the following function that it is never increasing over its…

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Q: 5. Find all x-values in which your function has horizontal tangent lines, f(x) = 2 sin x + x. given…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The function f(x) = sin(x) + cos(x) is an odd function. True False

A: the function is odd if

Q: Let f(x) = sin x and g(x) = cos x. Find the value of (f •g) A-n

A: it is given that f(x)=sin x and g(x)= cos x  we have to find f∘gπ4=?

Q: Express the following as an algebraic function of x. sin(sin¯ (x) – cos-'(x)

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Q: Express the following as an algebraic function of x. sin(arctan(2x) + arccos(2x))

A: Question is solved.

Q: Find f(x), where f'(x) = sin(x) + cos(x) +1 and f(7) = 2.

A: Given: f'(x)=sin(x)+cos(x)+1 and f(π)=2

Q: -he deriva tive of the function y= tan'( 3x+1) when X-0: %3D

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Q: The derivative of a function f is given by f'(x) = esin for 0 < x < 9. On what intervals is f…

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Q: Find the extreme values for the function f(x) = x + sin x on the interval [0, 27).

A: This function is unbounded below and unbounded above, Therefore the function has no global extreme…

Q: If f (x) = - cos(x), then f (0)(x) is equal to A - sin(x) B - cos(x) В © sin(x) D cos(x)

A: We have to differentiate the given function 9 times

Q: Express the following as an algebraic function of x. sin(arctan(2x) – arccos(2x))

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Q: Determine the extreme values of the function f(x) = 2 cos(x) –1 on the interval [0, 27].

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Q: Consider the function f (x) = -2x ln x a. Find f' (x) b. Find the equation of the line tangent to…

A: Note: According to our expert guidelines only first three subparts are to be answered.kindly repost…

Q: Let f(x) = cx + In(cos(x)). For what value of c is f'(" = 5? 4

A: Differentiate the given function w.r.t. x.…

Q: 7. Draw the function (f(x) = cosx sin (x) and its derivative in one graph for the same range for x…

A: The objective is to solve the above questions.

Q: given the function f(x)=(ax+b)cosx, where the function is increasing at x=pie/2

A: We need to check if the function is increasing at x.

Q: 11. Sketch for 0≤x≤ 47 of the following function in the same set of axes. 1 y = 2cosx, y=- Ecosx, y…

A: Given that,

Q: Find the derivative of

A: Given,

Q: Given f(x) = 3 sin x cos x, find f prime (x)

A: Derivative problem.....

Q: Find the function f(x) if f'(x) = 2 cos x + 3 sin x and f(0) = 4

A: We have