Maths Support: Differentiation

Topics covered include: limits and continuity, derivatives: definition, basic rules, chain rule and other advanced topics, applications of derivatives, analysing functions, parametric equations, polar coordinates, and vector-valued functions. (Khan Academy)

Topics covered include: the gradient of a curve and how the gradient of a curve at a point can be thought of as the limit of the gradient of a chord to the curve, differentiating polynomial functions using standard results, using differentiation to find the equations of tangents and normals to curves.(Integral for HE)
You will need to register for an Integral for HE account to access this resource.

Covers using the product rule and the quotient rule in differentiation. (Integral for HE)
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Covers the derivatives of trigonometric functions, using the chain rule, product rule and quotient rule to differentiate functions involving trigonometric functions. (Integral for HE)
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Topics covered include: Local maximum and local minimum points and be able to identify them by examining the gradient of a function either side of a stationary point, what is meant by the terms increasing function and decreasing function and be able to find the range of values of x for which a function is increasing or decreasing, and sketching the graph of a gradient function from the graph of the function. (Integral for HE)
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Covers: finding the second derivative of a function defined in terms of powers of x,
using the second derivative to determine the nature of a stationary point and solving problems involving maximising and minimising about differentiation from first principles. (Integral for HE)
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Covers the derivative of the exponential function, the derivative of the natural logarithm function and using these results, together with the chain rule, product rule and quotient rule, to differentiate functions which involve logarithmic or exponential functions. (Integral for HE)
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Introduction to how to differentiate functions of the form and sums and differences of such functions. (Integral for HE)
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Covers: differentiating composite functions using the chain rule, the derivative of an inverse function, and
solving problems involving connected rates of change using the chain rule. (integral for HE)
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Covers what is meant by concave upwards and concave downwards in relation to the shape of a curve, what is meant by a point of inflection, identifying a stationary point of inflection and a non-stationary point of inflection. (Integral for HE)
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How differentiate functions defined implicitly. (Integral for HE)
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