Differentiate y = ln (3x + 2)

The equation for the derivative of the natural log is dy/dx = f'(x)/f(x) where f(x) = the contents of the natural log, in this case 3x+2. So, to get dy/dx we first need f'(x), the derivative of f(x). This is 3, as the first terms x power decreases to 0, making it equal 3*1 and the constant becomes zero. This means dy/dx 3/3x+2.

WS

Related Maths A Level answers

All answers ▸

Prove that (root)2 is irrational


Differentiate the following equation: f(x) = 5x^3 + 6x^2 - 12x + 4


A function is defined by f(x)= e^(x^2+4), all real x. Find inverse of f(x) and its domain.


(i) Find the coordinates of the stationary point on the curve y = 3x^2 − 6/x − 2. [5] (ii) Determine whether the stationary point is a maximum point or a minimum point.