Mathematics for IGCSE & O level - Graphs Of Functions (Section 5 - No. 49)

When estimating the gradient of a curve at a point, why is it important to draw the tangent carefully?
The tangent determines the roots of the function
The tangent should create equal space on both sides of the curve
The tangent has a relationship with the y-axis
The tangent will always be a negative gradient

Explanation

To draw as good a tangent as possible, try to move your ruler so you have an equal amount of space between the curve and the tangent on each side of the given point.

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