IB skill practice

Differentiate exponential logarithmic and trigonometric functions

Differentiate common transcendental functions and interpret derivative values.

Paper 1, Paper 2 5 marks Difficulty 4

Differentiate exponential logarithmic and trigonometric functions - visual model point

The graph shows \(f(x)=\frac{1}{3x+1}\). Find the marked derivative value at \(x=1\).

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.