# data[].attributes.body
If a function is differentiable, then it is decreasing at all x-points where its derivative is negative.

# data[].attributes.body
If a function is differentiable, then it is increasing at all x-points where its derivative is positive.

# data[].attributes.body
1) Find gradient, m
2) Use x point to find corresponding y coordinate
4) Use y - y₁ = m (x - x₁) to find equation of tangent

# data[].attributes.body
1) Find gradient, m
2) Find normal gradient, m2 = -1/m
3) Use x point to find corresponding y coordinate
4) Use y - y₁ = m₂ (x - x₁) to find equation of normal

# data[].attributes.headline
Using gradient function to find gradient

# data[].attributes.subject
Using gradient function to find gradient

# data[].attributes.body
Let us explore!