Find dy/dt y=1-t

Problem

d()/d(t)*(1−t)

Solution

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

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

d(y)/d(t)=d(1)/d(t)−d(t)/d(t)

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

d(1)/d(t)=0

4. Differentiate the linear term using the power rule. The derivative of t with respect to t is 1

d(t)/d(t)=1

5. Combine the results to find the final derivative.

d(y)/d(t)=0−1

Final Answer

d(y)/d(t)=−1

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