<p>When a straight line <strong>touches</strong> a curve at a single point $A$, the line is called the <strong>tangent</strong> to the curve at the point $A$.</p>
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<p>• Gradient of the curve at a point is defined as the gradient of the <strong>tangent</strong> to the curve at that point.</p>
<p>• Unlike straight line, the curve do not have a fixed gradient, it will have <strong>different gradients at different points.</strong></p>
<p style="margin-top: 1.5rem">• The tangents drawn in Figure 1 and Figure 2 are not correct.<br></p>
<p style="margin-left: 0.5rem">The correct tangent drawn is shown in <strong>Figure 3.</strong></p>
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When a straight line **touches** a curve at a single point $A$, the line is called the **tangent** to the curve at the point $A$.

• Gradient of the curve at a point is defined as the gradient of the **tangent** to the curve at that point.

• Unlike straight line, the curve do not have a fixed gradient, it will have **different gradients at different points.**

Gradient of the Curve at a Point (Tangent)

Gradient of the Curve at a Point (Tangent)

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