On [0, 67], ƒ(x) = }. Find all values of x. Find the x-intercepts of f(x) on [0, 87]. On [=, ), g(x) = =. Find all values of x. –7Ħ 3™' .7π3π 2 > 2

Q: Differentiate the following functions using the quotient rule. a) You are given that f (x) a df dx…

A: The Power Rule:The Chain Rule:The Quotient Rule:

Q: (2) Let f(x) = -3 sin(x+2). (c) And then determine the domain and range of f(x).

A:

Q: 2. If f(g(x)) = sin x + 3sinx - 1, determine possible expressions for f(x) and g(x), where g(x) # x.

A: (1st method/way): Let f(x)=x²+3x-1 and g(x)=sinx Then we can find f(g(x)) as follows…

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Q: Exercise 2. Evaluate f'(-T/3) where f(x) = = cos-(cos ). Be careful this one is little tricky.

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Q: ) Define the domain and range of f(x) where f(x) = sin²(x) – 1

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A:

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A:

Q: Consider the function f(x) = sin2 (x) − sin(x), 0 ≤ x ≤ 2π.    Find the intervals of increase and…

A: Consider the function f(x) = sin2(x) − sin(x), 0 ≤ x ≤ 2π.  Find the intervals of increase and…

Q: 2. Given the function f (x) = sinx and g(x) = x², find the value of g(fG)

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Q: 1. Differentiate the following functions a. f(x) = sin(x) cos(x)

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Q: Use the Product Rule to differentiate the function. f(x) = x° cos(x) f '(x) = %3D

A: