Question

if f(x)=3* then find f'(2) using method of first principle​

Answer 1

Step-by-step explanation:

Let y= 3^x

ln y = x ln 3

ln(y+∆y) = (x+∆x)ln3

ln(y+∆y)–lny= (x+∆x)ln3 _xln3

ln(1+∆y/y)=∆xln3

∆y/y=∆xln3

∆y/∆x=yln3

f'(2)=9ln3