Question #048de

1 Answer
Oct 23, 2017

Look below

Explanation:

so you want to derive #R(Y)=3cosy-4/siny#

Btw dont use implicit differentiation, its in terms of Y

work:

pull out the constants, so

#3 d/dy [cosy] - 4 d/dy [1/siny]#

do the reciprocal rule for #d/dy[1/siny]#

#3(-sin(y))-4* (d/dy [siny])/sin^2(y)#

#3(-sin(y)) - (4cos(y))/sin^2(x)#

reciprocal rule formula

for any function of #1/f(x)#

derive by #[1/f(x)]' = (f'(x))/f(x)^2#

(i was up late to do something)