Help needed!! (1 Viewer)

[RHINO7]

Need help with these questions.

i) Find the equation of the tangent to the curve y=loge(x-1) at the point (1, loge2)

ii)Find the stationary point on the curve y= Inx/x and determine its nature.

iii) Find the derivative of log(base)3(2x +5)

 

[pLuvia]

i)That's not possible since the function as an asymptote at x=1

ii)y'=(1-lnx)/x²=0
x=e, y=1/e
Stat point at (e,1/e)
Test either points to the stat point and you should find it is a maximum stat point

iii) y=log₃(2x+5)
=log(2x+5)/log(3)
y'=(log(3)*2/(2x+5))/(log(3))²