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The Concept Map you are trying to access has information related to:
The Derivative, Reduction Rules for a Constant Multiple (c u)' = c (u'), The Derivative is calculated with Reduction Rules, The Derivative can be used to Model Real World Phenomena, Result Rules for Trigonometric Functions arcsin'(x) = 1/sqrt(1-x^2) arccos'(x) = - 1/sqrt(1-x^2) arctan'(x) = 1/(1+x^2) arccot'(x) = - 1/(1+x^2) arcsec'(x) = 1/sqrt(x^2(x^2-1)) arccsc'(x) = - 1/sqrt(x^2(x^2-1)), Intervals of Monotonicity for f'(x) to determine f'(x) Decreasing: f is Concave Down, Differential Equations for Population Models. Exponential Growth: y' = ky Logistic Growth: y' = ky (M-y), Stationary Points {x | f'(x) = 0} to determine if f'(x) changes sign Positive to Negative: f has a Local Maximum, The Derivative can be used to bound f(x) with The "Speed Limit Law" or the "Race Track Prinicple", Analyze a Function by finding Intervals of Monotonicity for f'(x), The Derivative can be used to Analyze a Function
