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7.3 Logarithmic and Exponential Functions

7.3 Logarithmic and Exponential Functions. Math 6B Calculus II. Exponential Functions. The graph of y = b x , where b > 1 The graph of y = b x , where 0 < b < 1. Inverse Relations for Exponential and Logarithmic Functions.

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7.3 Logarithmic and Exponential Functions

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  1. 7.3 Logarithmic and Exponential Functions Math 6B Calculus II

  2. Exponential Functions • The graph of y =bx, where b > 1 • The graph of y =bx, where 0 < b < 1

  3. Inverse Relations for Exponential and Logarithmic Functions • For any base b > 0, with , the following inverse relation hold. • Solving Logarithmic and Exponential Equations.

  4. The Derivative of bx • We will use logarithmic differentiation to find dy/dx where y = bx • The end resultwe get is:

  5. Exponential Integral • Exponential Integral of bx:

  6. The Power Rule • If n is any real number and f (x) = xn, then f ‘(x) = nxn-1

  7. The Evolution of logbx

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