# Question #36296

##### 1 Answer

Sep 1, 2017

#### Explanation:

#"differentiate "color(blue)"implicitly with respect to x"#

#"differentiate "-5x^3y^3" using the "color(blue)"product rule"#

#6x-15x^3y^2dy/dx-15x^2y^3=0#

#rArrdy/dx=(15x^2y^3-6x)/(-15x^3y^2)#

#color(white)(rArrdy/dx)=(2-5xy^3)/(5x^2y^2)#