document.write( "Question 1015355: Please help me solve this problem and tell me whether my answer is correct or incorrect. \r
\n" ); document.write( "\n" ); document.write( "What is the x-intercept of the tangent to y=e^x at x=45?\r
\n" ); document.write( "\n" ); document.write( "I got y=e^45 with the tangent point being (45, e^45). Is this wrong?\r
\n" ); document.write( "\n" ); document.write( "Thanks, your help is always appreciated! \n" ); document.write( "
Algebra.Com's Answer #631812 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
What is the x-intercept of the tangent to y=e^x at x=45?\r
\n" ); document.write( "\n" ); document.write( "I got y=e^45 with the tangent point being (45, e^45). Is this wrong?
\n" ); document.write( "-------------
\n" ); document.write( "y' = e^x
\n" ); document.write( "@ x = 45 --> m = e^45 at the point (45,e^45)
\n" ); document.write( "-----
\n" ); document.write( "y - y1 = m*(x-x1)
\n" ); document.write( "y - e^45 = (e^45)*(x - 45) is the eqn of the tangent line.
\n" ); document.write( "At the x-int, y = 0
\n" ); document.write( "----
\n" ); document.write( "-e^45 = (e^45)x - 45*e^45
\n" ); document.write( "-1 = x - 45
\n" ); document.write( "x = 44 --> (44,0)
\n" ); document.write( " \n" ); document.write( "
\n" );