IB skill practice

Differentiate with the power rule

Differentiate polynomial and power functions using derivative notation and the power rule.

Paper 1 5 marks Difficulty 2

Differentiate a power function with a constant

For \(f(x)=6x^{3}+2x+1\), find \(f'(x)\). Enter the derivative coefficient, derivative power, and derivative constant.

Worked practice: differentiate with the power rule

Show the coefficient, power, and linear term in the derivative before moving on.