Consider the following. f(t) - t sin(t) g(t) = 1+t Find f'(t) and g'(t). f' (t ) = g '(t ) = Differentiate. t sin(t) y = 1+t Need Help? Read ItDifferentlate. f(w) 1 + sec(w) 1 - sec(w) f' (W ) = Need Help? Read ItTutorial Exercise Find the derivative of the function. 3x f ( x ) = - 8 - tan(x) Step 1 3x The function f(x) = _ tan(x) is a quotient, so we'll need to use the Quotient Rule, which states that d [ f ( x) ] _ 9(x)f' ( x) - f(x)g'(x) dx lg(x). (9 ( x ) ) 2 Recall that the derivative of tan(x) is (It's important to simply memorize the derivatives of all six trigonometric functions.) Submit Skip (you cannot come back) Need Help? Read it