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| Tangents and Normals |
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| Note 1: If m = 0 the tangent is parallel to x-axis. |
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| Note 3: Equation of the tangent at (x1,y1) is |
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or  |
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| Note 4: Equation of the normal at (x1,y1) is |
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or  |
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| Example: |
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Find the equation of the tangent to the curve 
which is parallel to the line 4x - 2y + 5 = 0. |
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| Solution: |
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| Since the tangent to the given curve is parallel to the line |
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| 4x - 2y + 5 = 0 |
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Slope of the tangent = Slope of the given
line |
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| On simplification, the equation is 48 x - 24y = 23. |
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Application of Derivatives
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