Question

Question #048de

Answer 1

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)