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Tangent Line to a Curve

Learn how to find the equation of a tangent line to a curve – one of the most common applications of derivatives. I present the theory and several different types of example. FollowFollowFollow Key Points A tangent line meets a curve at a single point, the point...

Common Algebra Mistakes

Avoid these common algebra mistakes and stop throwing away marks on homework’s, assessments and exams. Never waste these marks again! FollowFollowFollow Key Points Cancelling in a fraction means dividing the numerator and the denominator by the same value To...

The Quotient Rule

Learn how to differentiate a quotient of functions using The Quotient Rule FollowFollowFollow Key Points The Quotient Rule is for differentiating a quotient of functions A quotient of functions is simply one function being divided by another Often you can use indices...

The Product Rule

Learn how to differentiate a product of functions using The Product Rule FollowFollowFollow Key Points The Product Rule is for differentiating a product of functions A product of functions is simply two functions multiplied together Sometimes you can use indices rules...

Completing the Square

Learn how to write Quadratic Expressions in Completed Square form FollowFollowFollow  Key Points Completing the square is a type of factorising for quadratic expressions You must learn what the completed square form looks like There are two methods of completing the...

Differentiation Power Rule

Learn how to differentiate functions using The Power Rule when they are not in the correct format  FollowFollowFollow   Key Points The power rule is for differentiating polynomial style functions If a function is not in the correct format you cannot use the power rule...