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6 April, 05:08

In each case, determine if the function can be differentiated using the rules developed so far (sections 3.1 and 3.2). (a) y = 2x2

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  1. 6 April, 05:22
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    The rule for differentiation for variable with exponents has the formula:

    d/dx (xⁿ) = nxⁿ⁻¹

    where n is the exponent

    Thus, for the given equation, the solution is as follows:

    y = 2x²

    dy/dx = 2 (2) x²⁻¹ = 4x

    Thus, the derived equation of the given would now be 4x.
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