### Differentiation Techniques

#### Power Rule for Differentiation

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
Finding Stationary Points - Worksheet 1 Finding the $$x$$ and $$y$$ coordinates of stationary points, by solving $$\frac{dy}{dx} = 0$$. The functions worked with in the worksheet can all be differentiated using the power rule for differentiation.
Finding Stationary Points - Worksheet 2 Finding the $$x$$ and $$y$$ coordinates of stationary points, by solving $$\frac{dy}{dx} = 0$$. The functions worked with in the worksheet can all be differentiated using the power rule for differentiation and are all of the form $$y = ax+\frac{b}{x}$$ for instance $$y = 2x+\frac{8}{x}$$. These functions are frequently seen in exam-type questions.