chain rule

Practise chain rule with an original VectorPaths question, worked explanation and related VCE Methods practice.

1 practice marks

Original practice question

Find the derivative of $y = e^{2x + 2}$.

Worked explanation

  • Identify chain rule: y = f(u) where u = g(x)

    \[y = e^{2x + 2}, \quad u = 2x + 2\]

  • dy/dx = dy/du × du/dx

    \[\dfrac{dy}{dx} = 2 e^{2 x + 2}\]

2*exp(2*x + 2)

Original VectorPaths practice; not an official VCAA question or marking rubric.