Monday

September 1, 2014

September 1, 2014

Posted by **Laura** on Sunday, January 4, 2009 at 2:58pm.

- Calculus -
**Reiny**, Sunday, January 4, 2009 at 3:18pmdy/dx = 4x^3 + 4x + 1

so at (1,2) dy/dx = 4+4+1 = 9

so is 4x^3 + 4x + 1 = 9 ?

x^3 + x - 2 = 0

we already know that (x-1) is a factor, so by synthetic division I found

x^3 + x - 2 = 0

(x-1)(x^2 + x + 2) = 0

x = 1, we knew that or

x = (-1±√-7)/2 which is not real

so there are no other points where the tangent has a slope of 9

- Calculus -
**BOB**, Sunday, January 4, 2009 at 4:35pmfind the tangent line, graph both of them

**Answer this Question**

**Related Questions**

Calculus - Consider line segments which are tangent to a point on the right ...

calculus - Consider line segments which are tangent to a point on the right half...

calculus - Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 . a. Show ...

Help Calc.! - original curve: 2y^3+6(x^2)y-12x^2+6y=1 dy/dx=(4x-2xy)/(x^2+y^2+1...

please help; calc - original curve: 2y^3+6(x^2)y-12x^2+6y=1 dy/dx=(4x-2xy)/(x^2+...

12th Grade Calculus - 1. a.) Find an equation for the line perpendicular to the ...

Calculus - Damon - Find the line which passes through the point (0, 1/4) and is ...

Calculus - If a tangent line is drawn to the parabola y = 3 - x^2 at any point ...

Calculus - If F(x)=x^3−7x+5, use the limit definition of the derivative to...

calculus - If a tangent line is drawn to the parabola y = 3 - x^2 at any point ...