# Computing Derivatives

### Example 1

Use implicit differentiation to find *y'*, assuming in the case that *y* is a function of *x*.

*x*^{3}+*y*^{3}= 4*x*

### Example 2

Use implicit differentiation to find *y'*, assuming in the case that *y* is a function of *x*.

*y*= cos(*y*) + 2*x*

### Example 3

implicit differentiation to find *y'*, assuming in the case that *y* is a function of *x*.

- e
^{{y2}}-*x*=*y*

### Example 4

implicit differentiation to find *y'*, assuming in the case that *y* is a function of *x*.

*xy*^{2}+*x*^{3}*y*= 4*x*

### Example 5

implicit differentiation to find *y'*, assuming in the case that *y* is a function of *x*.