0
The product rule is a formula that is used to find the derivative of the product of two or more functions.
It is summarized as thus: y' = u x v' + v x u' ("first times the derivative of the second, plus the second times the derivative of the first").
Ex:
y = (2x4 + 6x3 + 9x) X (3x2 + x7+ 12)
y' = (2x4 + 6x3 + 9x) X (6x + 7x6) + (3x2 + x7+ 12) X (8x3 + 18x2 + 9)
y' = 12x5 + 14x10 + 36x4 + 54x2 + 63x7 + 24x5 + 54x4 + 27x2 + 8x10 + 18x9 + 9x7 + 96x3 + 216x2 + 108
y' = 36x5 + 22x10 + 90x4 + 297x2 + 72x7 + 18x9 + 96x3 + 108
Still curious? Ask our experts.
Chat with our AI personalities
Professor
Beau
FranAdd your answer:
Earn +20 pts
How is the power of power property rule and the power of a product property rule different?
(xa)b = xa*b = xab (xy)a = xaya
Which of these is the statement of the zero product rule?
If a b = 0, then either a = 0 or b = 0, or both.
The product rule?
d[fg(x)]/dx = df(x)/dx*g(x) + f(x)*dg(x)/dx or (fg)' = f'g + fg'
What is the meaning of the algebra term monomial?
any number or variable or product of numbers and variables
What is the product of f and g in algebra?
It is expressed as: fg meaning f times g
