Find the nth differential coefficients of y with respect to x following cases: . `y=1/(4x^2-1)`

Find the differential coefficient of sin^(-1)x with respect cos ^(-1)x.

Find the differential coefficient of: (x^(4)-1)(x^4+1)

Find by the definition the differential coefficient of the following: y=1+x/(1!)+x^2/(2!)+x^3/(3!)+……+x^n/(n!) show that dy/dx-y+x^n/(n!)=0

Evaluate differentiation of y with respect to x : y=5x+cosx

Evaluate differentiation of y with respect to x : y=5x+cosx

Evaluate differentiation of y with respect to x : y=sinxcosx

Evaluate differentiation of y with respect to x : y=sinxcosx

Find the differential coefficients of the following functions with respect to x:(1)log log x^(2) and (e^(x)+e^(-x))/(e^(x)-e^(-x))

Evaluate differentiation of y with respect to x: (2x+1)^(-3)

Evaluate differentiation of y with respect to x: (2x+1)^(-3)