Find the derivative of the function. f(x): f(x) = 2xarccos(x) – 2/1 – x² 2arccos(x) + 2 2arc cos (x) – 2//1 – x² O 2arc cos (x) – 2x//T – x² 2arccos(x)

Q: Find the derivative of the function. f(x) = [(x − 3)(x + 9)]2

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Q: (2) Find the derivative of each of the following functions (a) f(x) = (1+x*)²/3 (b) g(x) = V1+…

A: a) We use the power rule and chain rule

Q: Find the derivative of the algebraic functie c3 – x³ c3 + x3 c is a constant. f(x) %3D 6r3 3 (3 +x³)…

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Q: Find the derivative of the following function. f(x) = - 3e X-7 e 4x - 2 ex ..... (-3e -x-7e 4x-2 ex)…

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Q: Compute the derivatives of the following functions using differentiation rules. (a) f(x) = *-3 + 1…

A: Here we will be using quotient rule in part a) product rule in part b) power and chain rule in c)

Q: Find the derivative of the function. 4² – 1 4x 4x g(x) = du Hint: f(u) du = f(u) du + f(u) du Jax u…

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Q: 2. Let a and b be constant. Applying the chain rule to find the derivative of the following…

A: The chain rule states that the derivative of f(g(x)) is f'(g(x))g'(x). Essentially this means taking…