Posted by Eliza on Sunday, November 28, 2010 at 11:09am.
1. a.) Find an equation for the line perpendicular to the tangent curve y=x^3  9x + 5 at the point (3,5)
[* for a. the answer that I obtained was
y5 = 1/18 (x3) ]
b.) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
c.) Find equations for the tangents to the curve at the points where the slope of the curve is 18.

12th Grade Calculus  Reiny, Sunday, November 28, 2010 at 11:18am
a) correct
b) smallest slope > minimum slope
so set derivative of slope = 0
that is, the 2nd derivative = 0 and solve
c) set 3x^2  9 = 18 and solve
You will get two differenent x's, find the matching y's and do the usual thing to find the equation.
Answer This Question
Related Questions
 Calculus AB  Could someone please help me with these tangent line problems? 1) ...
 Calculus AB  Sorry but I've got a lot of problems that I don't understand. 1) ...
 Calculus  If F(x)=x^3−7x+5, use the limit definition of the derivative to...
 calculus  Consider the curve defined by 2y^3+6X^2(y) 12x^2 +6y=1 . a. Show ...
 calculus  Consider line segments which are tangent to a point on the right half...
 Calculus  Damon  Find the line which passes through the point (0, 1/4) and is ...
 calculus  find the equation of the tangent line to the curve y=5xcosx at the ...
 AP AB Calculus  Linear approximation: Consider the curve defined by 8x^2 + 5xy...
 Calculus  Please help this is due tomorrow and I don't know how to Ive missed a...
 12th grade calculus  find the lines that are (a) tangent and (b) normal to the ...
More Related Questions