Katie and Sarah are working on taking the derivative of f(x) = -2x3x + 4Katie...
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Katie and Sarah are working on taking the derivative of f(x) = -2x3x + 4Katie uses the quotient rule to get f'(x) =product rule and the chain rule (shown below). Explain the discrepancies between the two answers.-1f(x) = 2x(3x+4)=1f'(x) = 2x(-1)(3x+4)=2(3)+2(3x+4)-11-2= 2(3x + 4) - 6x(3x+4) ?(3x+4)2-2x(3)(3x+4)8(3x+4)Sarah converts it into aChoose the correct answer below.O A. In the first answer, using the quotient rule, the exponent in the denominator is positive. Whereas, in the second answer, using the product rule and the chainrule, the exponents are negative and contain two terms. The two methods produce similar expressions.OB. In the first answer, using the quotient rule, the exponent in the denominator is positive. Also, in the second answer, using the product rule and the chain rule,the exponents are negative. The two methods produce different expressions that are not equivalent.OC. In the first answer, using the quotient rule, the exponent in the denominator is positive. Whereas, in the second answer, using the product rule and the chainrule, the exponents are negative and contain two terms. The answers are equivalent, just in different forms.
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