Ask a New Question

Question

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

Answers

Reiny
take derivative first

e^x - 3x^2 + 2y dy/dx = 0
dy/dx = (3x^2 - e^x)/2y
at (0,3)
dy/dx = (0 - 1)/6 = -1/6

so the slope of the tangent at the given point is -1/6
thus the slope of the normal at that point is +6
10 years ago
Molly
Positive 6 was correct!
7 years ago

Related Questions

The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) intersects the curve at what other point... State the normal of a line that is parallel to 2x-4y+5 AN EQUATION OF THE LINE NORMAL TO THE GRAPH OF Y= SQRT[3X^2 + 2X] AT (2, 4) IS?? waht is the slope of the normal line to y^2 = x/2 at P(1/8,1/4)?? tangent line and normal line of y=(sqrtx)/(x+1) when p=(4,2/5) Find the slope of the normal line to y= ln(15-x) at x=4 The slope of the line normal to the graph of 4 sin x + 9 cos y = 9 at the point (pi, 0) is: Derivat... The slope of the line normal to the graph of 4 sin x – 9 cos y = 9 at the point (x,0)? How do you... if the line x+y+k is a normal to the hyperbola xsquare/9-ysquare/4=1 then k=
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use