Question Detail
Question
Evaluate d/dx [kf(x)] where k is a constant.
Correct Answer
Option B is the correct answer.
Detailed Explanation
The constant multiple rule in differentiation states that if k is a constant and f(x) is a differentiable function, then the derivative of the product of k and f(x) is k times the derivative of f(x).That is, d/dx [kf(x)] = k * d/dx [f(x)] = kf'(x).Option B matches this rule.
Hint
Remember that constants can be factored out when differentiating. The derivative of a constant times a function is the constant times the derivative of the function.