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

Problem

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

Solution

1. Identify the constant factor in the expression.

2. Apply the constant multiple rule, which states that (d(c)*ƒ(x))/d(x)=cd(ƒ(x))/d(x)

2d(sin(x))/d(x)

3. Apply the derivative rule for the sine function, where d(sin(x))/d(x)=cos(x)

2*cos(x)

Final Answer

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

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