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Finding Derivatives Using Differentiation Rules

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Find derivatives of the following functions using differentiation rules:
1. f(x) = 9x+5
2. f(x) = 3e^x
3. f(x) = 3x^3 + 4
4. f(x) = x^4 + 3x^2 + 4x - 31
5. f(x) = (2x + 3)e^x
6. f(x) = (2x - 1)e^(x-3)
7. f(x) = x(x-2)^2 = x(x^2 - 4x + 4) = x^3 - 4x^2 + 4x

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The expert examines finding derivatives using differentiation rules.

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Find derivatives of the following functions using differentiation rules

1.
Use the linear rule
F'(x) = 9

2.
Use exponential rule
F'(x) = 3ex

3.
Use linear rule
F'(x) = ...

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