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Derivatives of powers with rational exponent

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Subject

Mathematics

Grade

Upper Secondary

Publisher

yTeach Publisher

Resource types

Whiteboard presentation

Teaching type

Teaching object

Usage

Teaching resource



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Description At the end of this activity, students should be able to:
– find the derivative of a power with a negative integer exponent
– find the derivative of a root
– find the derivative of a power with a rational exponent.
Partner resource
Derivatives of powers with rational exponent [Class activity]
Consists of...
The derivative of a natural power of  x [Whiteboard exercise]
Finding the derivative of a natural power of  x [Whiteboard exercise]
Finding functions, knowing the derivatives [Whiteboard exercise]
The reciprocal of  x  and its derivative [Animation]
The derivative of the reciprocal of  x [Whiteboard exercise]
The sign of the derivative of the reciprocal of  x [Whiteboard exercise]
The reciprocal of  x  squared and its derivative [Animation]
The derivative of the reciprocal of  x  squared [Whiteboard exercise]
Finding the second derivative of the reciprocal of  x [Whiteboard exercise]
The derivative of an integer power of  x [Animation]
Examples of the derivative of an integer power of  x [Animation]
Finding the derivative of an integer power of  x [Whiteboard exercise]
Finding the second derivatives [Whiteboard exercise]
The square root of  x  and its derivative [Animation]
The derivative of the square root of  x [Whiteboard exercise]
The values of the derivative of the square root of  x [Whiteboard exercise]
The derivative of the cube root of  x [Animation]
The derivative of the  nth root of  x [Animation]
Finding the derivative of the  nth root of  x [Whiteboard exercise]
Finding the derivative of the function [Whiteboard exercise]
The derivative of an arbitrary rational power of  x [Whiteboard exercise]
The second derivative of an arbitrary rational power of  x [Whiteboard exercise]
Graph the function and the equation of its derivative [Whiteboard exercise]
Finding the derivative of the function at the given point [Whiteboard exercise]
The values of the derivative of the cube root of  x [Whiteboard exercise]
Relevant to...
Copyright YDP SA
Keywords

root, natural, square, derivatives, reciprocal, exponent, integer, rational, arbitrary, powers, Derivatives of powers with rational exponent

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