Question

b) i) Show that d/ dx(2xInx)= 2Inx+ 2
ii) The gradient of the tangent to a curve is 2Inx. Given that the curve passes through the point (e^2, 4), using bi)or otherwise, find the equation of the curve

Answer 1

use product rule

Answer 2

2x*d(lnx)/dx + lnx d(2x)/dx

Answer 3

gradient=dy/dx
dy/dx=2lnx

Answer 4

thank you. but i don't understand part ii) of the question or how to find the equation of the curve.