Question

3. Consider $p(w) = (2w - 1)(w^3 + 2)$. (a) Multiply out $p$, aka FOIL. (b) Use your answer to (a) to find $p'(w)$. (c) Now use the product rule to determine $p'(w)$ and simplify your expression. Does that match your previous answer?

          3. Consider $p(w) = (2w - 1)(w^3 + 2)$. 
(a) Multiply out $p$, aka FOIL. 
(b) Use your answer to (a) to find $p'(w)$. 
(c) Now use the product rule to determine $p'(w)$ and simplify your expression. Does that 
match your previous answer?

3. Consider p(w) = (2w - 1)(w^3 + 2).
(a) Multiply out p, aka FOIL.
(b) Use your answer to (a) to find p'(w).
(c) Now use the product rule to determine p'(w) and simplify your expression. Does that
match your previous answer?

Added by Virginia Z.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Eric Carlsen

Step 1

First, let's multiply out p(w) using the FOIL method: p(w) = (2w + 1)(ws + 2) = 2w * ws + 2w * 2 + 1 * ws + 1 * 2 = 2w^2s + 4w + ws + 2 Now, let's use the product rule to determine p'(w), the derivative of p(w): p'(w) = (2w^2s + 4w + ws + 2)' Show more…

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Consider p(w) = (2w + 1)(ws + 2). Multiply out p, aka FOIL. Use your answer to (a) to find p(w) - product rule to determine p(w) and simplify your expression. Does that Now use the match your previous answer?