yasmin95
find the equation of the tangent to the parabola x^2=16y at the point (4,1)



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Callisto
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Differentiate both sides with respect to x, what do you get?

yasmin95
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i got this so far,
y=x^2/16
dy/dx=2x/16
= x/8
at (4,1) dy/dx =4/8
=1/2

Callisto
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Yup!
So, slope of tangent = m = 1/2
Equation of tangent required is
y y1 = m (x x1)
(x1, y1) = (4,1)
Can you do it now?

yasmin95
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yeah but i don't know hw i keep getting x2y+4

yasmin95
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the answer is x2y2=0

Callisto
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y 1 = (1/2) (x 4)
Multiply both sides by 2
2 (y1) = x4
Can you continue??

yasmin95
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yeah thanks !!

Callisto
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Welcome :)