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Derivative Rules: Sum, Difference, Constant Multiple

AP Calculus AB· difficulty 1/5

If ff and gg are differentiable and h(x)=4f(x)−3g(x)h(x) = 4 f(x) - 3 g(x), then h′(x)=h'(x) =

  • A

    fg′f g'

  • B

    f−gf - g

  • C

    4f′−3g′4 f' - 3 g'

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  • D

    f′g′f' g'

Explanation

Linearity: derivative distributes through sums and constants.

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