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Please answer every part! Find the derivatives of the following functions using the Chain Rule: (i)

`u(x)=cot(4x^(7)-3x^(3)+4)+ln(sin(x))`

(ii)

`v(x)=e^(cos(x^(2)))-\root(6)((1)/(x^(2)))`

Find the following limits using L'Hopital's Rule: (a)

`\lim_(x->1^(+))(5x^(4)-3x-2)/(cos^(-1)(x))`

(b)

`\lim_(x->(\pi )/(2^(-)))sin(2x)sec(-7x`