Find the Derivative - d/dt at^2+bt+c

Problem

d()/d(t)*(a*t2+b*t+c)

Solution

1. Identify the variable of differentiation, which is t and treat a b and c as constants.

2. Apply the sum rule for derivatives, which allows for the differentiation of each term individually.

3. Apply the power rule to the first term a*t2 which results in 2*a*t

4. Apply the power rule to the second term b*t which results in b

5. Apply the constant rule to the third term c which results in 0

6. Combine the results of each term to find the final derivative.

Final Answer

d()/d(t)*(a*t2+b*t+c)=2*a*t+b

Want more problems? Check here!