CalcLec3

CalcLec3 - tom.h.wilson tom.wilson@mail.wvu.edu Dept....

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1 tom.h.wilson tom.wilson@mail.wvu.edu Tom Wilson, Department of Geology and Geography Dept. Geology and Geography West Virginia University x de x e dx () cx cx cx dAe d cx A ec A e dx dx  Tom Wilson, Department of Geology and Geography This is an application of the rule for differentiating exponents and the chain rule
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2 The cosine and its derivative 0.5 1 1.5 ude cos( q ) -sin( q ) point 1 Tom Wilson, Department of Geology and Geography -1.5 -1 -0.5 0 -90 0 90 180 270 360 theta amplitu Point 2 Secant deriv (slope) cz o e  What is the porosity gradient at a depth of 1.5 km? Tom Wilson, Department of Geology and Geography ? z Refer to comments on the computer lab exercise.
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3 cz o e  Between 1 and 2 kilometers the gradient is -0.12 km -1 See limits.xls Tom Wilson, Department of Geology and Geography ? z The slope of the secant is a little larger than that of the tangent at 1.5 km The slope of the secant decreases slightly as we converge on 1.5km Tom Wilson, Department of Geology and Geography As we converge toward 1.5km,  / z decreases to -0.118 km -1 between 1.49 and 1.51 km depths.
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4 What is the gradient at 1.5km?
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CalcLec3 - tom.h.wilson tom.wilson@mail.wvu.edu Dept....

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