Estimate the indicated derivative by any method. (Round your answer to three decimal places.)
s = t − t2; estimate ds/dt
t = 4

Question

Estimate the indicated derivative by any method. (Round your answer to three decimal places.)
s = t − t2; estimate ds/dt	 
t = 4

anonymous · Answer

*s=t-t^2

anonymous · Answer

what does "estimate" mean? the derivative of $t-t^2$ is $1-2t$

anonymous · Answer

if you plug in 4 you get -7

anonymous · Answer

How did you know t-t^2 is 1-2t?

anonymous · Answer

i guess you didn't get to the part about the "power rule" yet
the derivative of $t$ is 1, because $t$ is a line with slope 1
the derivative of $t^2$ is $2t$ by the all mighty power rule, but you can get it by hand if you like
it will be a bit of work, but it is easy if you memorize that $$\frac{d}{dx}[x^n]=nx^{n-1}$$

anonymous · Answer

That's extremely helpful. Thanks so much!