Question

Estimate the indicated derivative by any method.

s = t − t^2; estimate
ds/dt
t = 5

Answer 1

@sleepyjess and @ganeshie8 and @mathmate

can you guys help me out?

Answer 2

\[\frac{ds}{dt}=\frac{dt}{dt}-\frac{dt^2}{dt}\]

Answer 3

After getting the derivative replace t by 5

Answer 4

I assume you know the concept of derivative and can apply it.

Find the derivative of s with respect to time, and then let t=5 sec. Please show your work.

Answer 5

ds/st = 1 - 2t = 1- 10 = -9

Answer 6

Another way: Graph the function s = t - t^2 for t= 3, 4, 5, 6, 7.
From your graph, read off the approx. slope of the tangent line to this curve at t=5.