Question
What is product rule
Answers
GPT 3.5
The product rule is a rule used in calculus to find the derivative of the product of two functions.
If we have two functions u(x) and v(x), the product rule states that the derivative of their product (u(x) * v(x)) is equal to the derivative of u(x) multiplied by v(x), plus u(x) multiplied by the derivative of v(x).
Mathematically, the product rule can be written as:
d/dx(u(x) * v(x)) = u'(x) * v(x) + u(x) * v'(x)
where d/dx represents the derivative with respect to x, u'(x) represents the derivative of u(x) with respect to x, and v'(x) represents the derivative of v(x) with respect to x.
If we have two functions u(x) and v(x), the product rule states that the derivative of their product (u(x) * v(x)) is equal to the derivative of u(x) multiplied by v(x), plus u(x) multiplied by the derivative of v(x).
Mathematically, the product rule can be written as:
d/dx(u(x) * v(x)) = u'(x) * v(x) + u(x) * v'(x)
where d/dx represents the derivative with respect to x, u'(x) represents the derivative of u(x) with respect to x, and v'(x) represents the derivative of v(x) with respect to x.