GRADIENT OF TANGENT.doc
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GRADIENT OF TANGENT & NORMAL SPM 1995. 1. Find the coordinates at the curve 2 ) 5 2 ( − = x y where the gradient of the normal for the curve is 4 1 . SPM 2 4.(a) !he straight line k x y = + 4 is the normal to the curve ( ) " 1 2 2 − − = x y at #oint A. Find (i) the coordinates of #oint A and the value of k (ii) the e$uation of the tangent at #oint A 2. !wo varia%les x and y are related %& the e$uation x x y 2 " + = . 'iven that & increases at a constant rate of 4 units #er second find the rate of change of x when x 2 *"m+ ,-!S /F 0-'
Transcript of GRADIENT OF TANGENT.doc
GRADIENT OF TANGENT & NORMAL
GRADIENT OF TANGENT & NORMAL
SPM 1995.
1. Find the coordinates at the curve
where the gradient of the
normal for the curve is .
SPM 2000
4.(a) The straight line is the normal to the curve at point A.
Find
(i) the coordinates of point A and the value of k(ii) the equation of the tangent at point A2. Two variables x and y are related by the
equation .
Given that y increases at a constant rate of
4 units per second, find the rate of change
of x when x = 2 [3m]
RATES OF CHANGE_1220615579.unknown
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