Eric Nicholas K's answer to Kathy's Secondary 4 A Maths Singapore question.
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Here
Date Posted:
4 years ago
where u get 4x?
Wait let me check
Dy/dx represents the gradient, which is essentially m in the equation y = mx + c. Remember that tangents are straight lines. So does normals.
I forget
So here the gradient of the tangent is 4 which means that the equation of the line is y = 4x + c
Normals are just lines which are perpendicular to tangents, so the normal has gradient -1/4 in this case, so the normal has equation y = -1/4 x + c.
Sorry still confused
Qns don’t have any 4
Ok I write up the entire thing once again with more explanations, wait
The 4 comes from the dy/dx value when x = 2. The terms m (in y = mx + c), gradient and dy/dx all mean the same thing.