Differentiation of Trigonometric Functions

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(6) dy/dx=-cot(x)csc(x)+csc²(x)(cot(x)csc(x))=


(7) dy/dx=(3sec²(2x))(2sec(2x)tan(2x))-6sec²(2x)tan(2x)=



(8) dy/dx=⅜+⅜(-sin²(x)+cos²(x))+¼(-3cos²(x)sin²(x)+cos⁴(x))=







(9) dy/dx=3cos(x/3)-xsin(x/3)-3cos(x/3)=-xsin(x/3).

(10) dy/dx=4sec³(x)sec(x)tan(x)-4tan(x)sec²(x) 



As with (1) to (5) the expression for y can be rewritten and then differentiated with the same results.

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