(8.2) - The Derivative of the Natural Logarithmic Function

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Presentation transcript:

(8.2) - The Derivative of the Natural Logarithmic Function MCV4U1 (8.2) - The Derivative of the Natural Logarithmic Function The inverse of the exponential function y = ex Switch x for y Solve for y using Logarithms This Logarithmic function is called the Natural Log Function Pronounced "Lon x"

Find the derivative of y = lnx Rewrite Implicit Differentiation Solve for dy dx Rewrite

Derivative Rules:

Ex.) Differentiate the following, and SIMPLIFY a) b) c)

Ex.) Find the equation of the tangent line to the curve y = x2(1 + lnx) to the point where x = e. Ex.) Determine the Maximum value of the function

Homework: p. 309 - 310 #3, 4, 5ab, 8, 10, 11