Anonymous
Anonymous asked in Science & MathematicsMathematics · 4 weeks ago

Math question help ?

What is the instantaneous rate of change for the function f(x)=7x^3-2x^2 at x=2 

f'(x) =

f'(2)=

       

1 Answer

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  • 4 weeks ago

    You can get the first derivative of a polynomial by following this set of directions for each term:

    The new coefficient is the product of the old coefficient and the old exponent.

    The new exponent is the old exponent minus 1.

    If the term has an exponent of 1 it becomes a constant.

    If the term is a constant it drops off.

    So:

    f(x) = 7x³ - 2x²

    becomes:

    f'(x) = 21x² - 4x

    At x = 2, we get:

    f'(2) = 21(2)² - 4(2)

    f'(2) = 21(4) - 4(2)

    f'(2) = 84 - 8

    f'(2) = 76

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