Posted by **sylvia** on Monday, December 1, 2008 at 3:34pm.

find an equation for a line that is normal to the graph y=e^x*x and goes through the origin.

- calculus -
**Damon**, Monday, December 1, 2008 at 4:54pm
do we mean y = x e^x ???

at x = 0, y = 0 so it goes through the origin

slope = dy/dx = x e^x - e^x

at x = 0 that is e^0 = 1

so our slope = -1/1 = -1

so our line is

y = -1 x + 0

or

y = -x

- calculus -
**Damon**, Monday, December 1, 2008 at 5:08pm
sure it is normal. slope = -1/slope of function at origin

- calculus -
**Damon**, Monday, December 1, 2008 at 5:13pm
Maybe you did not follow the derivative? I used the product rule

d/dx(uv) = u dv/dx + v du/dx

here u = x

and v = e^x

so

du/dx = 1

dv/dx = e^x

so

df/dx = x e^x + 1 e^x

at zero that is one because e^0 is one

so our function slope at the origin is m = 1

normal slope = -1/m = -1/1 = -1

## Answer this Question

## Related Questions

- Graphing interpretation - What would it mean if the line of a linear regression ...
- math - On a straight line graph, if the line is going this way \ and it goes ...
- math - how do i solve this problem? find an equation for a line that is tangent ...
- Calculus - The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) ...
- Algebra - A student earns $0.65 for each mistake she finds in a text. Sketch the...
- Calculus - Can someone show how to solve this problem Find the equation of the ...
- HS Calculus - Definition of the derivative to calculate f'(x) if f(x) = square ...
- math - i have more than one question so if u no any of the answers please tell ...
- College Calculus - Let f(x) = 3x^2 - 2x + 1 a) write an equation of the line ...
- Math- calculus - Given f(x) = x ^ 3 - x ^ 2 -4x +4 Find the zeros of f. Write an...

More Related Questions