# A-Level Maths Resources for Teachers and Students

## Syllabus • Differentiation

 Topic Differentiation Module C1 Description The derivative of f(x) as the gradient of the tangent to the graph of y = f (x) at a point; the gradient of the tangent as a limit; interpretation as a rate of change; second order derivatives. For example, knowledge that is the rate of change of y with respect to x. Knowledge of the chain rule is not required. Differentiation of $$x^n$$, and related sums and differences. For example, for $$n > 1$$, the ability to differentiate expressions such as $(2x + 5)(x - 1)$ and $\frac{(x^2+5-3)}{3x^{1/2}}$ is expected. Applications of differentiation to gradients, tangents and normals. Use of differentiation to find equations of tangents and normals at specific points on a curve.