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# Implicit differentiation

7 videos
1 skill
Like people, mathematical relations are not always explicit about their intentions. In this tutorial, we'll be able to take the derivative of one variable with respect to another even when they are implicitly defined (like "x^2 + y^2 = 1").

### Implicit differentiation

VIDEO 8:02 minutes

### Showing explicit and implicit differentiation give same result

VIDEO 7:48 minutes

### Implicit derivative of (x-y)^2 = x + y - 1

VIDEO 4:56 minutes

### Implicit derivative of y = cos(5x - 3y)

VIDEO 4:08 minutes

### Implicit derivative of (x^2+y^2)^3 = 5x^2y^2

VIDEO 7:10 minutes

### Finding slope of tangent line with implicit differentiation

VIDEO 5:25 minutes

### Implicit derivative of e^(xy^2) = x - y

VIDEO 5:58 minutes

### Implicit differentiation

PRACTICE PROBLEMS