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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
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The product rule?
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the product rule is included in calculus part.Product Rule : Use the product rule to find the derivative of the product of two functions--the first function times the derivative of the second, plus the second function times the derivative of the first. The product rule is related to the quotient rule, which gives the derivative of the quotient of two functions, and the chain rule, which gives the derivative of the composite of two functionsif you need more explanation, i want you to follow the related link that explains the concept clearly.
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The zero product rule.
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of Rule
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to rule
What does describes the product rule?
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What describes the product rule?
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What is the meaning of archy?
A suffix properly meaning a rule, ruling, as in monarchy, the rule of one only. Cf. -arch.
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