Let_f(x) = sin x X 0 ƒ(0) = º. 0 -. Then O f(0) = 1. Of(0) is undefined. Of(0) is indeterminate.

Q: Let f'(x)= = f(x) = x² tan ¹(7x)

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Q: Let f(x) - 9 sin' a 4 f'(x)

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Q: Determine f'(x) for: Ax) = sin (5x - 2)

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

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Q: Suppose that...

A: We are given: f(2) = -3 , g(2) = 4 , f'(2) = - 2  and  g'(2) = 7  Now, based on the given four types…

Q: Sketch the grTaph of a function f that satisfies all of the given conditions (@) /(-1) = 4, f(1) =…

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Q: Let Compute f'(2). ƒ(x) = x³ + 3ª

A: This is a problem related to differentiation of the function. Please follow the procedure given…

Q: Find a function that is defined for all real numbers and has f'(x) that exists for all real numbers…

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Q: Let f(y) = ⌊y⌋. Find a) f^-1({0}). b) f^−1({−1, 0, 1}). c) f^−1({y | 0 <y< 1}).

A: The given function f(y) is floor function:   The floor function is defined as: fy: The greatest…

Q: Let h(x) tan(5x + 7). Then %3D h'(4) is and h''(4) is

A: As in question it is not mentioned wheather we have to considered degree or in radian inside…

Q: Find f" (x) if f (x) = tan(x² − 1). ○ 2 sec² (x² - 1) ○ 2 sec² (x² − 1) (1 + 4x² tan(x² − 1)) ○ 2…

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Q: Show that the function f(x)=x^-4 +cos(-2x) is even, odd, or neither."

A: Given, f(x)= x^-4 +cos(-2x) f(x)= (1/x)4 + cos(-2x)

Q: Let f(x) ƒ'(0) = = 2e²+3 + e².

A: Given query is to find indicated derivative.

Q: The f ²-3)³ dx is equal to x2

A: Given: I=∫x2-33x2dx For evaluating given integral, first we simplify given expression then integrate…

Q: If f(x)=sin(sin x) then f'(0) is .. Jika f(x)=sin(sin x) maka f'(0) adalah ... 1. O -1 2. O 1 3. O 0…

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Q: Let f(x) f'(x) = 2 cos x + 7 tan x 2 sin(x) + 7 sec²(x) 1' (5) = 6

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Q: Let f: ℝ → ℝ by f(x) = 1 + x^2 and g: ℝ → ℝ by g(x) = 2^x + 3, calculate the following: (f ○ g)(1)

A: The composition of f and g is defined as:

Q: Suppose that Find f'(2). f'(2) = f(x) = = e³x x² + 4

A: Given f(x)=e3xx2+4   We are required to findf'(2)         The following formulas of derivatives has…

Q: Sketch a graph of the function f(0) = 2 sin(-20- - -Зл -5л/2 -2л 0-17) -3/2 -Л +3 -п/2 6 5 4 3 2 1…

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Q: Iff

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Q: Six)ax = [glu) du 1f flx): 3x-1 Solw) au ? Consider what is sec (3*) ·

A: we have to integrate

Q: Find a function for which f'(x) exists for all real numbers but f"(x) doesn't exist for all real…

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Q: Suppose that Find f'(2). f'(2) = f(x) = = ex x² +3

A: f(x)=e4xx2+3d dx(ex)=exd dx(xn)=nxn-1d dx(ab)=b×dadx-a×dbdxb2

Q: Let f (2) = (3z +9) (i – v}hat is the real part of the derivative f' (1+ i}

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Q: Describe the concavity of the graph of f(x) = x2-sin(2x) on the interval [0, π] on(4);concave down…

A: Obtain the first derivative of the function f(x)=x^2-sin(2x).