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

Problem

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

Solution

1. Identify the task as finding the second derivative of the quadratic expression a*t2+b*t+c with respect to t

2. Differentiate the expression once with respect to t using the power rule, where the derivative of tn is n*t(n−1)

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

3. Differentiate the resulting expression 2*a*t+b a second time with respect to t

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

Final Answer

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

Want more problems? Check here!