Differentiate the following with respect to x : \(y=(x-{1\over x})^2\)

Differentiate the following with respect to x : y = xe^x log x

Find the derivatives of the following functions with respect to corresponding independent variables: y = sin x + cos x

Differentiate the following: y = cos (tan x)

Differentiate the following: \(f(t)=\sqrt[3]{1+\tan t}\)

Find \({dy\over dx}\) if x = at² ; y = 2at, t\(\neq 0.\)

Find the derivatives of the following :  \(\sqrt{xy}=e^{(x-y)}\)

Find \(\frac { dy }{ dx } if\quad { x }^{ 4 }+{ x }^{ 2 }{ y }^{ 2 }+{ y }^{ 4 }=50.\)

Differentiate \(\sqrt { { e }^{ \sqrt { x } } } ,x>0.\)

Differentiate x² (x + 1)³ (x + 2)⁴ with respect to 'x'.