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# Derivative

"derivative" is referenced in the pages listed below.

This page explores the derivatives of hyperbolic functions in calculus. Interactive calculus applet.
Explores linear approximations to the derivatives of functions in calculus. Interactive calculus applet.
This page explores the derivatives of trigonometric functions in calculus. Interactive calculus applet.
This page explores one application of derivatives - analyzing the behavior of curves that represent functions in calculus. Interactive calculus applet.
This page explores the derivatives of exponential functions in calculus. Interactive calculus applet.
Parametric curves are defined using two separate functions, x(t) and y(t), each representing its respective coordinate and depending on a new parameter 't'. Interactive calculus applet.
An application of the derivative is in finding how fast something changes. For example, if you have a spherical snowball with a 70cm radius and it is melting such that the radius shrinks at a constant rate of 2 cm per minute. How fast is the volume of the snowball shrinking? Interactive calculus applet.
Explores the derivatives of the product and quotient of two functions. Interactive calculus applet.
How to find the general function that produces the derivative of another in calculus. Interactive calculus applet.
Explores the derivatives of any function at a point in calculus. Interactive calculus applet.
This page explores the derivatives of of a function at a point using a tabular approach. Interactive calculus applet.
Explores the derivatives of functions when multiplied by a constant in calculus. Interactive calculus applet.
Explores global extrema. This is just like the case for local extrema, except you need to find which one is biggest/smallest, and you may have to check endpoints. Interactive calculus applet.
Explores the derivatives of the sum and difference of two functions in calculus. Interactive calculus applet.
Explores some special cases in curve analysis in calculus. Interactive calculus applet.
Curves can be defined using polar equations, this page explores the derivatives of equations written this way. Interactive calculus applet.
Explores the derivatives of invertible functions in calculus. Interactive calculus applet.