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1- Given: cos(x^2+y^3)=y^5 sin(3x), find dy/dx by implicit differentiation.
2- Use formulas for derivatives of inverse trig functions to compute:. d/dx [cot^-1(x)-tan^-1(1/x)]
3- Given y=sqrtx+5*e^cosx*cot^6x/(1+x^3)^4, use logarithmic differentiation to evaluate dy/dx.
the answers should be handwrriten thanks.