$\"\"$

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The functions are $\"\"$ and $\"\"$ .

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The functions is $\"\"$ .

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Differentiate on each side with respect to $\"image\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The slope $\"\"$ .

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$\"\"$

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The function is $\"\"$ .

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Rewrite the function $\"\"$ .

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Apply derivative on each side wih respect to $\"image\"$ .

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$\"\"$

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Quotient rule of the derivative: $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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The slope $\"\"$ .

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Two functions are orthogonal when $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in the above equation.

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$\"\"$

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Hence the two functions are orthogonal.

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$\"\"$

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The functions are $\"\"$ and $\"\"$ .

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Consider $\"\"$ and $\"\"$ .

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$\"\"$ and $\"\"$ .

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$\"\"$ and $\"\"$ .

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Graph :

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Graph the two polynomials $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the graph :

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The tangent line to the curve are orthogonal to each other.

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$\"\"$

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The functions are $\"\"$ and $\"\"$

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Consider $\"\"$ and $\"\"$ .

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$\"\"$ and $\"\"$

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$\"\"$ and $\"\"$ .

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Graph:

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Graph the two polynomials $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the graph :

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The tangent line to the curve are orthogonal to each other.

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$\"\"$

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The curve $\"\"$ and $\"\"$ are orthogonal to each other.