d(uv dv du Find the derivative of the function by using Eu v Then multiply out t

Question

d(uv dv du Find the derivative of the function by using Eu v Then multiply out the function and find the derivative by treating it as a polynomial. Compare the results. (2 -x) 5x- 1 Find y using the product rule. Multiply the function out, simplify the resulting polynomial, then find the derivative. Compare the results. Choose the correct answer below. OA. The derivatives are different and unrelated. OB. The derivatives are the same Oc. The derivatives are negative inverses OD. It is quicker to use the derivative of a product formula then it is to first multiply the polynomial out and then differentiate.

Explanation / Answer

y=(5x-1)(2-x)

by product rule

y'=(5x-1)(-1)+(2-x)5

= -5x+1+10-5x=-10x+11

y=(5x-1)(2-x)

y=11x-5x^2-2

y'=-10x+11

derivatives are same

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