7.3 Logarithmic and Exponential Functions Math 6B Calculus II
Exponential Functions • The graph of y =bx, where b > 1 • The graph of y =bx, where 0 < b < 1
Inverse Relations for Exponential and Logarithmic Functions • For any base b > 0, with , the following inverse relation hold. • Solving Logarithmic and Exponential Equations.
The Derivative of bx • We will use logarithmic differentiation to find dy/dx where y = bx • The end resultwe get is:
Exponential Integral • Exponential Integral of bx:
The Power Rule • If n is any real number and f (x) = xn, then f ‘(x) = nxn-1