Calculus - Downloads


Differentiation Techniques

Power Rule for Differentiation

Topics Description Answer Key
Power Rule for Differentiation - Worksheet 1 - Exponent is a Positive Integer Use of the power rule to differentiate functions, which can be written \(f(x)=ax^n\) where \(n\) is a positive integer, such as \(f(x) = 3x^5\), \(y = 6x^2+3\), ... . HERE
Power Rule for Differentiation - Worksheet 2 - Exponent is a Negative Integer Use of the power rule to differentiate functions, which can be written \(f(x)=ax^n\) where \(n\) is a negative integer, such as \(f(x) = \frac{5}{x^2}\), \(y = 2x+\frac{3}{x^2}\), ... . HERE
Power Rule for Differentiation Worksheet 3 - Gradients of Curves Given the equation of several curves, such as \(y = x+\frac{1}{x}\), exercises consist of finding \(\frac{dy}{dx}\) and calculating the gradient of the curve at a point along its length. HERE