Find the Derivative - d/dx 2+sin(x)

Problem

d()/d(x)*(2+sin(x))

Solution

1. Apply the sum rule for derivatives, which states that the derivative of a sum is the sum of the derivatives.

d()/d(x)*(2+sin(x))=d(2)/d(x)+d(sin(x))/d(x)

2. Differentiate the constant term. The derivative of any constant with respect to x is 0

d(2)/d(x)=0

3. Differentiate the trigonometric function using the standard derivative rule for sine.

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

4. Combine the results to find the final expression.

0+cos(x)=cos(x)

Final Answer

d()/d(x)*(2+sin(x))=cos(x)

Want more problems? Check here!