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Will always intersect at y=1 because the square root of 1 is 1. Value of x that makes the derivative undefined is the vertical tangent i.e. Value of x that makes the denominator of the derivative=0. If the grad is -infinite as x approaches 1 from the negative side and grad is +infinite as x approaches 1 from positive side, there will be a cusp (X-2) is an example of indeterminable E.g. (X-2) Exists where f(x) is above the x-axis Coordinates of vertical tangents If using part a, need to draw out complex number z in order to find arg(z). If f double dash does not give 0, therefore it must be double zero OA=iOB indicates same length (modulus) with the i indicating a rotation of 90
E-Book Information
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Volume Info: 7th edition
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Year: 2,012
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Pages: 415
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Language: English
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Topic: 113
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Identifier: 978-9577428-0-2
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Org File Size: 23,494,238
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Extension: pdf
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Tags: Mathematics extension 2 hsc 4 unit higher school certificate terry lee advanced