Find the Derivative - d/dx 6cos(x)

Problem

(d(6)*cos(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 constant multiple rule by moving the 6 outside of the derivative.

(d(6)*cos(x))/d(x)=6d(cos(x))/d(x)

3. Apply the trigonometric derivative rule for cosine, which states that d(cos(x))/d(x)=−sin(x)

6d(cos(x))/d(x)=6*(−sin(x))

4. Simplify the expression by multiplying the constant and the function.

6*(−sin(x))=−6*sin(x)

Final Answer

(d(6)*cos(x))/d(x)=−6*sin(x)

Want more problems? Check here!