### Online Mathematics Book

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