Derivative Rules Graded HW

h(x) = f(x) + g(x). Find h'(3).

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h(x) = f(x) ⋅ g(x). Find h'(1).

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Find the first derivative of the function.

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Find f '(x). f(x) =(x³ + 2)².

• f '(x) = 3x²(x³ + 2)

• f '(x) = 6x²(x³ + 2)

• f '(x) = 2(x³ + 2)

• f '(x) = 3x²

Find f ' (x).

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Find f ' (x).

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Find y'.

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Use logarithmic differentiation to find ^dy/_dx

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f(x) = cos(cot(3x³)). Find f '(x).

• f '(x) = 9x²sin(cot(3x³))csc²(3x³)

• f '(x) = -9x²sin(cot(3x³))csc²(3x³)

• f '(x) = -sin(-csc²(9x²))

• f '(x) = -sin(cot(3x³))