Find the Derivative - d/dt 2-t

Problem

d()/d(t)*(2−t)

Solution

1. Apply the sum/difference rule of differentiation, which states that the derivative of a sum or difference is the sum or difference of the derivatives.

d()/d(t)*(2−t)=d(2)/d(t)−d(t)/d(t)

2. Differentiate the constant term using the constant rule, where the derivative of any constant is zero.

d(2)/d(t)=0

3. Differentiate the linear term using the power rule or the identity rule, where the derivative of t with respect to t is one.

d(t)/d(t)=1

4. Combine the results to find the final derivative.

0−1=−1

Final Answer

d()/d(t)*(2−t)=−1

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