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secondary 4 | A Maths
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Date Posted: 1 year ago
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To find the equation of the tangent, we need a gradient and the coordinates of a point.
To find the y-coordinate, we substitute the value of x into the original equation.
To find the gradient, we perform dy/dx on the original equation before substituting the value of x.
A normal to a curve is a line which is perpendicular to the tangent to the curve at the same tangential point. The product of gradients of two perpendicular lines is -1, so you can use the previous result to find the gradient of the normal.
With these, you are ready to form the equations of the tangent and normal.
To find the y-coordinate, we substitute the value of x into the original equation.
To find the gradient, we perform dy/dx on the original equation before substituting the value of x.
A normal to a curve is a line which is perpendicular to the tangent to the curve at the same tangential point. The product of gradients of two perpendicular lines is -1, so you can use the previous result to find the gradient of the normal.
With these, you are ready to form the equations of the tangent and normal.
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Part i
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