Question Detail
Question
The Product rule of differentiation formula for the function V = r(x)s(x) is...
Correct Answer
Option B is the correct answer.
Detailed Explanation
The product rule for differentiation states that if a function V(x) is the product of two differentiable functions, V(x) = r(x)s(x), then its derivative with respect to x is given by:V'(x) = r'(x)s(x) + r(x)s'(x)In Leibniz notation, this is written as:dV/dx = (dr/dx)s + r(ds/dx)Rearranging the terms, we get:dV/dx = r ds/dx + s dr/dx. This matches option B.
Hint
Recall the definition of the product rule: The derivative of a product of two functions is the first function times the derivative of the second, plus the second function times the derivative of the first.