Quiz28_10 - d exp x dx = exp x 4 Define a b = exp b ln a...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Honors Calculus I Quiz 28 1. Define a function ln x = 1 t dt 1 x ! . What is the derivative of ln( x ) ? 2. Show that ln( x ) as defined above has the following properties. (a) ln( a ! b ) = ln a + ln b (b) ln( x ) is an increasing function on (0, ! ) (c) lim x ! + " ln x = + " (d) lim x !"# ln x = "# 3. Define exp( x ) to be the inverse function for ln( x ) . Show that
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: d exp( x ) dx = exp( x ) . 4. Define a b = exp( b ! ln a ) . Show the following properties of this function. (a) dx a dx = a ! x a " 1 for a a constant and x > (b) x n = x ! x ! ! ! x n " times " # $ % $ for n a positive integer and x >...
View Full Document

Ask a homework question - tutors are online