Find the Derivative - d/dx 5sin(x)

Problem

(d(5)*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.

(d(5)*sin(x))/d(x)=5⋅d(sin(x))/d(x)

2. Apply the derivative rule for the sine function, which is d(sin(x))/d(x)=cos(x)

5⋅d(sin(x))/d(x)=5*cos(x)

Final Answer

(d(5)*sin(x))/d(x)=5*cos(x)

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