Here's the problem -

400-6x^2

Find the slope of the tangent to this curve at this point (1, 394)

HELP!!

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- Oct 30th 2008, 02:14 PMlava1980help with a slope of the tangent to a curve
Here's the problem -

400-6x^2

Find the slope of the tangent to this curve at this point (1, 394)

HELP!! - Oct 30th 2008, 02:33 PMskeeter
how are you supposed to find the slope? ... straight power rule derivative, or derivative from the limit of a difference quotient?

- Oct 30th 2008, 02:35 PMVaritron
The question is how to find the equation of the line tangent to a specified curve, , at a specified point, . The answer is quick and easy:

where is the derivative of evaluated at . - Oct 30th 2008, 02:36 PMlava1980
so the derivative of 400-6x^2 is -12x

then where do I go? - Oct 30th 2008, 02:43 PMVaritron
- Oct 30th 2008, 02:48 PMlava1980
- Oct 30th 2008, 02:51 PMVaritron
- Oct 30th 2008, 02:54 PMlava1980
- Oct 30th 2008, 03:05 PMVaritron
- Oct 30th 2008, 03:11 PMlava1980
- Oct 30th 2008, 03:44 PMKhaali91
i think what he is trying to say is...

remember the derivative is going to be the slope...

if the slope is -12 then m=-12 and u have (x,y)-> (1, 394)

so solve for b in y=mx+b

394=-12(1)+b

then u have the equation for the line tangent to the point

correct me if im wrong, i just learned this last week =/ - Oct 30th 2008, 03:48 PMVaritron
- Oct 30th 2008, 03:57 PMlava1980
- Oct 30th 2008, 04:01 PMKhaali91