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Key ideas
Key ideas
The derivative may be represented physically as a rate of change and geometrically as the gradient or slope function.
I can explain and demonstrate how to use the power-rule of differentiation in various situations
The Derivative of x^n
The Derivative of x^n
https://www.geogebra.org/material/show/id/fk9ffkjw
Can you match the function with its derivative?
Differentiation Match the Pairs.pdfSketch derivative-f'(x)-graph.pdfSketch the derivative
Sketch the derivative
We work through several examples in which we learn the Sum and Difference rule for differentiation as well as the multiplication by a constant rule. In the process we also learn about the derivative of a constant, always equal to 0, as well as the derivative of x, which is always equal to 1.
The power rule for differentiation provides us with a formula to quickly find the derivative of any power of x. The power of x can be any real number. We look at examples in which the power is a positive whole number, a negative integer as well as a fraction.
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