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#1 2009-07-05 13:03:50
- Gercel
- Member
- Registered: 2009-07-03
- Posts: 16
HELP: with finding Point on the curve.
Hi I need help finding a point on the cuve y=x^3+2x+2
whose tangent line is parallel to the line 3x-y=2 ????
And is there more than one such point?
Please please, help me how to do it, and explain.
Thank you )
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#2 2009-07-05 20:39:53
- mathsyperson
- Moderator
- Registered: 2005-06-22
- Posts: 4,900
Re: HELP: with finding Point on the curve.
You a point on the curve where the derivative is equal to the gradient of the line.
The line's gradient is 3, and the function's derivative is 3x² + 2.
From there, you just equate them and solve for x.
Why did the vector cross the road?
It wanted to be normal.
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