Question

The slope of the line normal to the curve e^x − x^3 + y^2 =10 at the point (0, 3) is:

A. −1/6
B. 1/6
C. 6
D. − 6
E. Undefined

Answer 1

@dpaInc

Answer 2

@saifoo.khan

Answer 3

@precal

Answer 4

we have to find dy/dx and then put x = 0

Answer 5

so....e^x − x^3 =-y^2 +10, then take derivative?

Answer 6

First we have to make y the subject?

sorry im not sure.

Answer 7

http://www.wolframalpha.com/input/?i=find+the+derivative+of+e%5Ex+%E2%88%92+x%5E3+%2B+y%5E2+%3D10+

Answer 8

I think you just sub 0 and get the slope
then since they want the normal line, take the opposite reciprocal of that slope

Answer 9

@precal I got -2, but that's not an option

Answer 10

ok let us see, I am going to put pencil to paper, I was doing the lazy approach above