Implicit Differentiation (Edexcel A-Level Mathematics): Flashcards

Finding derivatives when $y$ isn't explicitly solved for $x$.

When $y$ isn't isolated in the equation from $x$.

Differentiate both sides with respect to $x$.

The chain rule, treating $y$ as a function of $x$.

Collect terms involving $\frac{dy}{dx}$ and solve for it.

The derivative of $y$ with respect to $x$.

Yes, by differentiating $\frac{dy}{dx}$ again with respect to $x$.

$x^2 + y^2 = 1$, which represents a circle.

It uses the chain rule for treating $y$ as a function of $x$.

Finding the slope of the tangent to a curve at a point.