Find dy/dt y=5-t

Problem

d()/d(t)*(5−t)

Solution

1. Identify the function to be differentiated with respect to the variable t which is y=5−t

2. Apply the sum rule for derivatives, which states that the derivative of a sum or difference is the sum or difference of the derivatives.

3. Differentiate the constant term 5 The derivative of any constant with respect to t is 0

4. Differentiate the linear term −t The derivative of t with respect to t is 1 so the derivative of −t is −1

5. Combine the results to find the final derivative.

Final Answer

d(y)/d(t)=−1

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