The product rule of differentiation is:
A) Y = U(X)W(X) $\rarr$dY/dX = (U dW/dX)(W dU/dX).
B) Y = U(X)W(X) $\rarr$dY/dX = (W dW/dX) / (U dU/dX).
C) Y = U(X)W(X) $\rarr$ dY/dX = (U dW/dX) - (W dU/dX).
D) Y = U(X)W(X) $\rarr$ dY/dX = (U dW/dX) + (W dU/dX).
E) Y = U(X)W(X) $\rarr$ dY/dX = (W dW/dX) + (U dU/dX).

Question

Quizplus · Accepted Answer

The product rule of differentiation states that if Y = U(X)W(X), then dY/dX = U(X) dW/dX + W(X) dU/dX. Option D is the only choice that matches this format. Option A has a product symbol that is not relevant to the product rule of differentiation. Option B seems to have the reciprocal rule of differentiation. Option C has a minus sign instead of a plus sign. Option E has terms that include the derivatives of U and W, but the signs are incorrect.

The Product Rule of Differentiation Is: A) Y = U(X)W(X) →\rarr→

The Product Rule of Differentiation Is:
A) Y = U(X)W(X) $\rarr$