The functions are and .

The functions is .

Differentiate with respect to .

The slope .

The function is .

Rewrite the function

Apply derivative on each side wih respect to

The quotient rule of the derivative:

The slope .

When two functions are Orthogonal .

Substitute and in the equation .

Hence the two functions are Orthonogonal

  The functions are and

consider and in the above equations.

and

  and .

Graph :

Observe from the graph :

Both the tangents are orthogonal to each other.

 The functions are and

consider and in the above equations.

and

  and .

Graph:

Observe from the graph :

Both the tangents are orthogonal to each other.

Both the tangents are orthogonal to each other.