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kirill [66]
1 year ago
7

Find the derivative of g(y)=(y-4)*(2y+y^2)

Mathematics
1 answer:
sasho [114]1 year ago
5 0

Answer:

g'(y)=3y^2-4y-8

Step-by-step explanation:

start by foiling out the given function

g(y)=(y-4)(2y+y^2)\\=2y^2+y^3-8y-4y^2\\=y^3-2y^2-8y

next, use the power rule to find the derivative

power rule: To use the power rule, multiply the variable's exponent n, by its coefficient a, then subtract 1 from the exponent. If there's no coefficient (the coefficient is 1), then the exponent will become the new coefficient.

g'(y)=3y^2-4y-8

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