Find the Derivative - d/dx -2cos(x)

Problem

(d(−)*2*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 factor −2 outside of the derivative.

(d(−)*2*cos(x))/d(x)=−2d(cos(x))/d(x)

3. Recall the basic trigonometric derivative rule for the cosine function, which is d(cos(x))/d(x)=−sin(x)

4. Substitute the derivative of cos(x) into the expression.

−2*(−sin(x))

5. Simplify the expression by multiplying the two negative signs to get a positive result.

2*sin(x)

Final Answer

(d(−)*2*cos(x))/d(x)=2*sin(x)

Want more problems? Check here!