Thursday

October 2, 2014

October 2, 2014

Posted by **Anonymous** on Monday, October 15, 2012 at 11:06am.

- Calculus -
**drwls**, Monday, October 15, 2012 at 11:11amThe curve crosses the y axis when x = 0.

f(0) = 3*e^0 - 3 = 0 @ x=0

dy/dx = 12 e^4x = 12 @ x=0

The straight tangent line at the origin (the tanglent point) is

y = 12 x.

- Calculus -
**Steve**, Monday, October 15, 2012 at 11:13amy=0 when x=0, so we are looking at the line through (0,0)

f'(x) = 12e^4x

f'(0) = 12

the line is thus y=12x

**Answer this Question**

**Related Questions**

Calculus - Find an equation of the tangent line to the curve of f (x) = x^3 &#...

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

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 ...

Calculus - Find the equation of the tangent line to the curve (piriform) y^2=x^3...

calculus - A curve passes through the point (1,-11) and it's gradient at any ...

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

Calculus - Please help this is due tomorrow and I dont know how to Ive missed a ...

Calc. - Find the area of the region bounded by the parabola y=x^2, the tangent ...