Differentiating lnx

Mr Titmas

Vary the point A to get a feel for the shape of the gradient function

Do you recognize the shape of the curve created by point B? What does this tell you about the differential of

Vary the value of k

What do you notice about the gradient of ln(kx) as you vary k? What is the differential of ln(kx)? Can you use chain rule to prove this result?