0
If this is a homework assignment, please consider trying to answer it yourself first, otherwise the value of the reinforcement of the lesson offered by the assignment will be lost on you.
The product rule for deriviatives is d/dx f(x)g(x) = g(x) d/dx f(x) + f(x) d/dx g(x).
Think about it. You treat this as two partial deriviatives, one with f(x) and the other with g(x). In each case, the alternate is treated as constant, and can be pulled out of the deriviative. Yes, I know, partial deriviatives is part of multi-variate calculus, which is second year, but I'll leave the first year proof to the reader.
Still curious? Ask our experts.
Chat with our AI personalities
Devin
Ross
EzraAdd your answer:
Earn +20 pts
What describes the product rule?
The product rule for derivatives is as follows. For the derivative of the product of two functions, "f" and "g":(f times g)' = f times g' + f' times g
What is the product rule of exponents in Algebra?
The product rule says when multiplying two powers that have the same base, you can add the exponents. There are product rules used in calculus to find the product of derivatives, but that does not really have to do with exponents.The above answer translates to the following Algebra rule:xm * xn = xm+nHere is an example:x5 * x2 = x5+2 = x7
Cos x sin x derivative?
You can use the rule for multiplying derivatives.
What is it called when the product of any number and is 0 is 0?
The zero product rule.
What is the product of 19 and 273?
Rule: product means multiply or multiplication19 * 273 = 5187
