Find the Derivative - d/dx 4sin(x)

Problem

(d(4)*sin(x))/d(x)

Solution

1. Identify the constant multiple rule, which states that the derivative of a constant times a function is the constant times the derivative of the function.

2. Apply the rule by moving the constant 4 outside of the derivative operator.

(d(4)*sin(x))/d(x)=4d(sin(x))/d(x)

3. Differentiate the trigonometric function sin(x) using the standard derivative rule d(sin(x))/d(x)=cos(x)

4d(sin(x))/d(x)=4*cos(x)

Final Answer

(d(4)*sin(x))/d(x)=4*cos(x)

Want more problems? Check here!