January 8th, 2014, 11:22 PM  #1 
Senior Member Joined: Sep 2013 From: Earth Posts: 827 Thanks: 36  Curve with gradient function
A curve with gradient function 3x^212x+9 passes through the point M(2,4) Find the gradient of the curve at M The equation of the normal curve at M The equation of the curve 
January 8th, 2014, 11:56 PM  #2 
Senior Member Joined: Dec 2012 Posts: 372 Thanks: 2  Re: Curve with gradient function . This is the gradient at M. To find the equation of the normal to the curve at M, we first note that the normal vector must be perpendicular to the tangent vector. Since the tangent has slope of 3, the normal must have a slope of The normal has equation . . Equation of your curve is . 
January 8th, 2014, 11:57 PM  #3 
Senior Member Joined: Dec 2012 Posts: 372 Thanks: 2  Re: Curve with gradient function . This is the gradient at M. To find the equation of the normal to the curve at M, we first note that the normal vector must be perpendicular to the tangent vector. Since the tangent has slope of 3, the normal must have a slope of The normal has equation . . Equation of your curve is . 
January 9th, 2014, 02:27 AM  #4 
Senior Member Joined: Sep 2013 From: Earth Posts: 827 Thanks: 36  Re: Curve with gradient function
Thanks . I can understand it with your solution . 

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curve, function, gradient 
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