prove that lnx differentiated is 1/x

let y = lnx therefore e^y = x then differentiating both sides we get: dy/dx (e^y) = 1 dy/dx = 1/(e^y) and as e^y = x dy/dx = 1/x when y = lnx

Related Maths A Level answers

All answers ▸

When do you use Mode, Mean and Median


show that y = (kx^2-1)/(kx^2+1) has exactly one stationary point when k is non-zero.


4^x - 2^x+1 - 15 = 0


How to do Integration by Parts?