# How do you implicitly differentiate #6=ylny-x#?

##### 2 Answers

Dec 22, 2016

#### Explanation:

differentiate both side wrt

points to note:

1) When differentiating

2) for the first term on RHS the product rule needs to be employed.

Now rearrange for

Dec 22, 2016

#### Explanation:

differentiate

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

#ylny" use " color(blue)"product rule"#

#0=(yxx1/y.dy/dx+lnyxx1.dy/dx)-1#

#rArrdy/dx(1+lny)=1#

#rArrdy/dx=1/(1+lny)#