How would i find the tangent to the quadratic 2x^2 -12x + 14 at the point (1,4)? Do we take the derivative of the equation? Thanks

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- Mar 29th 2006, 12:22 AMclassicstringsFind the tangent.
How would i find the tangent to the quadratic 2x^2 -12x + 14 at the point (1,4)? Do we take the derivative of the equation? Thanks

- Mar 29th 2006, 03:05 AMAradesh
yes, that's right, you need to differentiate it.

let

when

so the point (1,4) does lie on the curve.

so the gradient of the curve at (1,4) is -8.

you could also find the equation of the tangent line that touches the curve at (1,4) but i don't think that's what you need to do. - Mar 29th 2006, 10:02 PMclassicstrings
Yeah the equation is y = -8x + 12 after simple substitution. Thanks!