Sunday

October 26, 2014

October 26, 2014

Posted by **sarah** on Wednesday, August 31, 2011 at 6:19pm.

y = x, y = x2, y = x3 and y = ex

- math -
**MathMate**, Wednesday, August 31, 2011 at 7:24pmTangent line at x=0 means to evaluate the derivative at x=0, or f'(0).

For the tangent lines to be equal (coincident), f(0) must also be equal.

y=x => f'(x)=1 => f'(0)=1, f(0)=0

y=x²=> f'(x)=2x => f'(0)=0, f(0)=0

y=x³ => f'(x)=3x² => f'(0)=0, f(0)=0

y=e^{x}=>f'(x)=e^{x}=> f'(0)=e^{0}=1, f(0)=1

Therefore there are two sets of tangent lines with equal slopes at x=0, but only one set of them have equal y-intercepts and hence coincident lines.

- math -
**Bosnian**, Wednesday, August 31, 2011 at 7:32pmFor:

y=x

Technically there is no tangent line to a straight line because the definition of tangent means a line a touching at one point.

Answer is:

x^2 and x^3

**Answer this Question**

**Related Questions**

advanced funtions - what are similarities and differences between y=x line and a...

math - A tangent line is drawn to the hyerbola xy=c at a point P. 1) show that ...

Applied Calculus...... - Find the slope m of the tangent line to the graph of ...

math repost!! - please help, i procrastinated and now this is due tomorrow!! A ...

Math - If f(x)=3x^2-5x, find the f'(2) & use it to find an equation of tangent ...

cal - find the equation of a quadratic function whose graph is tangent at x=1 to...

Math - Let f(x) be the parabola -x^2+16x-16. find the point (x,y) on f such that...

Calculus - Tangent Line - Hi, im having problems with the following problem. The...

ap calculus ab - for f(x)=lnx we know that f(e)=1. Use the tangent line at(e,1) ...

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