Find the Derivative - d/dt 2cos(t)

Problem

(d(2)*cos(t))/d(t)

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 that function.

(d(2)*cos(t))/d(t)=2d(cos(t))/d(t)

2. Apply the derivative rule for the cosine function, which is d(cos(t))/d(t)=−sin(t)

(d(2)*cos(t))/d(t)=2*(−sin(t))

3. Simplify the expression by multiplying the constant and the trigonometric function.

(d(2)*cos(t))/d(t)=−2*sin(t)

Final Answer

(d(2)*cos(t))/d(t)=−2*sin(t)

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