Applied Mathematics 1413 Chapter 2.5: Applied Mathematics 1413 Chapter 2.: 2.5 Trig Function Derivatives

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.

use Trig function please

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