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Life asked in Science & MathematicsMathematics · 5 years ago

What's f'(10) for A: f(x)=12-5x? B: f(x)=200?

3 Answers

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  • Puzzling
    Lv 7
    5 years ago

    The derivative of a linear function is just the slope.

    f(x) = -5x + 12

    f'(x) = -5

    So for any value of x, the answer is always -5

    f'(10) = -5

    The derivative of a constant (horizontal line) will always be zero (no slope):

    f(x) = 200

    f'(x) = 0

    Again, regardless of the value of x, the answer is always 0.

    f'(10) = 0

  • alex
    Lv 7
    5 years ago

    A/

    f'(10) = -5

    B/

    f'(10) = 0

  • Como
    Lv 7
    5 years ago

    a

    f ` (x) = - 5

    f ` (10) = - 5

    b

    f ` (x) = 0

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