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Differentiating both sides of an equation like x2y=cos(x).
Want a deeper conceptual understanding? Try our interactive lesson!
Implicit differentiation is when we differentiate both sides of an equation. It is helpful when we have an equation that cannot be simplified to y=f(x).
In problems involving implicit derivatives, you may be asked to solve for points where the tangent to the curve is horizontal or vertical. A horizontal tangent means dxdy=0, and a vertical tangent occurs in the case where dxdy=denominatornumerator and the denominator equals zero.
If the question asks for vertical / horizontal normals, just recall that a vertical normal means a horizontal tangent, and vice-versa.
Nice work completing Implicit differentiation, here's a quick recap of what we covered:
Exercises checked off
Differentiating both sides of an equation like x2y=cos(x).
Want a deeper conceptual understanding? Try our interactive lesson!
Implicit differentiation is when we differentiate both sides of an equation. It is helpful when we have an equation that cannot be simplified to y=f(x).
In problems involving implicit derivatives, you may be asked to solve for points where the tangent to the curve is horizontal or vertical. A horizontal tangent means dxdy=0, and a vertical tangent occurs in the case where dxdy=denominatornumerator and the denominator equals zero.
If the question asks for vertical / horizontal normals, just recall that a vertical normal means a horizontal tangent, and vice-versa.
Nice work completing Implicit differentiation, here's a quick recap of what we covered:
Exercises checked off