Computing+Derivatives

media type="custom" key="5944949" flat toc =The Derivative (Computing Derivatives)= It is expected that students will determine derivatives of functions using a variety of techniques.

It is expected that students will: >
 * compute and recall the derivatives of elementary functions including:
 * [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc245.GIF width="115" height="28" align="middle"]]
 * [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc246.GIF width="61" height="28" align="middle"]]
 * [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc247.GIF width="75" height="32"]]
 * [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc248.GIF width="92" height="28" align="middle"]]
 * [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc249.GIF width="84" height="28" align="middle"]]
 * [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc250.GIF width="89" height="28" align="middle"]]
 * [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc251.GIF width="107" height="30" align="middle"]]
 * [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc252.GIF width="99" height="28" align="middle"]]
 * use the following derivative formulas to compute derivatives for the corresponding types of functions:constant times a function:
 * constant times a function: [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc253.GIF width="63" height="28" align="middle"]]
 * [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc254.GIF width="152" height="28" align="middle"]]
 * [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc255.GIF width="171" height="28" align="middle"]]
 * [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc256.GIF width="176" height="43" align="middle"]]
 * [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc257.GIF width="151" height="28" align="middle"]]
 * use the Chain Rule to compute the derivative of a composite function:
 * compute the derivative of an implicit function.
 * use the technique of logarithmic differentiation.
 * compute higher order derivatives.

Touch Mathematics
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