derivative of s(t)=2te^-t

Question

how can I find the derivative if I have power of -t

Answer 1

Hi Bashayer, use the chain rule to find the derivative.

 

Step 1:

 

d (2 * t * e^-t) / dt = 2 * t * d (e^-t) / dt + 2 * d (t) / dt * e^-t

 

                           = 2 * t * d( -t ) / dt * e^-t + 2 ( 1 ) * e^-t

 

                           = 2 * t * ( -1 ) * e^-t + 2 * e^-t

 

                           = -2 t e^-t + 2 e^-t

 

                           = 2 e^-t (1 - t)

 

Questions?