Use the quotient rule to find the derivative of the given function. Then find th

Question

Use the quotient rule to find the derivative of the given function. Then find the derivative by first simplifying the function. Are the results the same? h(w) = 2w^3 - w/w What is the immediate result of applying the quotient rule? Select the correct answer below. A. (6w^2 - 1) (w) + (2w^3 - w) (1) B. w (6w^2 - 1) - (2w^3 - w) (1)/w^2 C. 2w^2 - 1 D. 4w What is the fully simplified result of applying the quotient rule? What is the result of first simplifying the function, then taking the derivative? Select the correct answer below. A. (6w^2 - 1) (w) + (2w^3 - w) (1) B. 4w C. w(6w^2 - 1) - (2w^3 - w) (1)/w^2 D. 2w^2 - 1

Explanation / Answer

a) applying quotient rule derivative h'(w) =(1/w2)*(w*(6w2-1)-(2w3-w)*1)

option B is correct

fully simlified result =4w

b)simlifying: h(w)=(2w3-w)/w =2w2-1

taking derivative:

h'w) =4w

option B is correct

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