Evaluate: \(\underset { x\rightarrow \infty }{ lim } x\tan { \left( \frac { 1 }{ x } \right) } \)

Differentiate the following functions with respect to x, 7e^x

Differentiate the following functions with respect to x, x² sin x

Differentiate the following functions with respect to x, \(\sqrt{x^2+x+1}\)

Find \(\frac{dy}{dx}\) if \(x=a\cos\theta, y=a\sin\theta\)