-16t^2+152t+50
Compute S'(4)
The next step the teacher wrote is
S'(4)= -32(4)+152 = 24
And I don't see how to get there.
he used ds/dt

Question

-16t^2+152t+50 
Compute S'(4) 
The next step the teacher wrote is 
S'(4)= -32(4)+152 = 24 
And I don't see how to get there. 
he used ds/dt

anonymous · Answer

Well, first do you know how to differentiate the equation?

anonymous · Answer

Wait I think I get it. Yes I do. THe +50 is throwing me off. I guess thats addtional height above ground, so I wouldnt have to use it to calculate the derivative and such?

anonymous · Answer

Yes, the constant term will just fall out.

anonymous · Answer

The derivative of a constant is 0, yes.

anonymous · Answer

ahhh I didnt know that thank you
does this hold true for all using the power rule?

anonymous · Answer

Yes.

anonymous · Answer

thanks!

anonymous · Answer

But, beware! Do not say that the derivative of $$ (x+5)^4 $$ is the same as the derivative of $$ x^4. $$

anonymous · Answer

No problem! Sorry, had to double-post because I was beaten by your response. =P

anonymous · Answer

thanks ahhhnomegas

anonymous · Answer

My pleasure!