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)#