exponential and logarithmic functions (1 Viewer)

[pLuvia]

Find the coordinates of the turning point of the curve y=xe^-0.5x stating whether it is maximum or minimum.

Ok I keep getting x = 4 but the answer is x=2, please can someone confirm this with me?

 

[cwag]

y=xe<sup>-0.5x

</sup>dy
dx = e^-0.5x + (x)(-0.5*e^-0.5x) ---(product rule)
= e^-0.5x(1- 0.5x) ---(common factor of e^-0.5x)

to find stationary point dy/dx = 0
e^-0.5x cannot = 0
therefore the only stationary point is where 1-0.5x =0 therefore x=2


 

[williamc]

Well bumped.

He can now pass acturial studies coz he knows how to do it now.