# Definition of Derivative

Move the slider , which represents the independent variable increment.
When tends to line , the tangent in approaches 0, is the slope of the tangent to the curve in and of the tangent change accordingly.

*B*tends to*A*along the function graph, line*A*to the curve. The limit of the*difference quotient*, as*A*. You can also move the point*A*along the function and explore how the slopes ofApplying the definition, calculate the derivatives of the following functions, in the given points:

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