Find the first <span title="derivitive-trignometry-please">derivitive-trignometry-pl...</span> explain?

Question

f(x) = [ TAN(-1.82x) ] / [ x ] Determine the first derivitive of the function at x = 2.71.

f(x) = [ SIN(9.73x) ] / [ x ] Determine the first derivitive of the function at x = 5.77

please explain

Answer 1

f&#039;(x) = [x * sec^2(-1.82x)*(-1.82) - tan(-1.82x)]/x^2

just use quotient rule.. . .

then plug in the value desired.

similarly, use quotient rule again for the second

D[f/g] = {g*f&#039; - f*g&#039;}/g^2