• Support PF! Buy your school textbooks, materials and every day products Here!

Derivatives of exponential functions

  • Thread starter banfill_89
  • Start date
47
0
1. Homework Statement

find the equation of the tangent to the curve defined by y=e^x that is perpendicular to the line defined by 3x+y=1

2. Homework Equations

m= 1/3 (negative reciprocal of y=-3x+1)
derivative of e^x=e^x

3. The Attempt at a Solution

i keep getting stuck at 1/3=e^x ( i know theres a way to solve for x i just cant remember)

the answer is x-3y+(1+ln3)=0
 

Answers and Replies

159
0
ln(e^x) = x. You can take the natural log of both sides of an equation.
 

Related Threads for: Derivatives of exponential functions

  • Last Post
Replies
17
Views
2K
  • Last Post
Replies
3
Views
8K
  • Last Post
Replies
2
Views
916
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
12
Views
1K
  • Last Post
Replies
14
Views
878
Replies
4
Views
16K
Top