# Implicit differentiation

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##### Intros

##### Examples

###### Lessons

- The graph shows a circle centred at the origin
with a radius of 5.

a) Define the circle implicitly by a relation between x and y .

b) Define the circle by expressing y explicitly in terms of x .

c) Use the method of "explicit differentiation" to find the slope of the tangent line to the circle at the point (4, -3).

d) Use the method of "implicit differentiation" to find the slope of the tangent line to the circle at the point (4, -3). - $3{y^4} + 5{x^2}{y^3} - {x^6} = 2x - 9y + 1$

Use implicit differentiation to find: $\frac{{{d}y}}{{{d}x}}$