Evaluate the derivative of the following functions at the given point.

\(y=t-t^2;\ t=2\)

SOLUTION STEP 1 n n1 If f(x) = x then f (x) =nx 2 Here we have, f(x) = y = t t We need to find dy at the point t = 2,ie, dy dt dt t=2 dy dt = 1 2t Now, dy at the point t = 2,ie, dy = 1 2 × 2 = 1 4 = 3 dt dt t=2 dy Thus we get , dt t=2= 3