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Function Analysis of Exponential, Logarithmic & Trigonometric Functions

Function Analysis of Exponential, Logarithmic & Trigonometric Functions. Calculus - Santowski. Review. Determine the equation of dy/dx if: y = 2 x y = e x y = log 5 x y = ln(x) y = sin(x) y = cos(x). Function Analysis.

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Function Analysis of Exponential, Logarithmic & Trigonometric Functions

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  1. Function Analysis of Exponential, Logarithmic & Trigonometric Functions Calculus - Santowski

  2. Review • Determine the equation of dy/dx if: • y = 2x y = ex • y = log5x y = ln(x) • y = sin(x) y = cos(x)

  3. Function Analysis • 1. Find the absolute minimum of on the interval (0,∞) • 2. Find the intervals of increase/decrease of f(x) = ex + e-2x • 3. Find the intervals of increase/decrease for the function f(x) = x2e-x

  4. Function Analysis • 1. Find the minimum point of the function • 2. Find the max pt of • 3. Find where y = ln(x2 – 1) is increasing and decreasing • 4. Find the maximum value of Calculus - Santowski

  5. Function Analysis • Find the maximum and minimum point(s) of the function f(x) = 2cosx + x on the interval (-π,π) • Find the minimum and maximum point(s) of the function f(x) = xsinx + cosx on the interval (-π/4,π) • Find the interval in which g(x) = sin(x) + cos(x) is increasing on xER Calculus - Santowski

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