Mathematics for IGCSE & O level - Graphs Of Functions (Section 6 - No. 14)
What is the relationship between the gradient of a curve and the tangent line to the curve at a given point?
The gradient of the curve is always greater than the tangent
The gradient of the curve is the same as the gradient of the tangent
The gradient of the curve is always less than the tangent
There is no relationship between them.
Explanation
The gradient of the curve at any point is the same as the gradient of the tangent to the curve at that point.
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