Question

differentiate e to power root cot x​

Answer 1

$\: \bold \red { || \: || \: your \: answer \: || \: || }$

$given...... \\ \\ e {}^{ \sqrt{ \cot( \alpha ) } } = y \\ \\ \frac{dy}{d \alpha } = \frac{de {}^{ \sqrt{ \cot( \alpha ) } } }{d \sqrt{ \cot( \alpha ) } } \times \frac{d \sqrt{ \cot( \alpha ) } }{d \cot( \alpha ) } \times \frac{d \cot( \alpha ) }{d \alpha } \\ \\ now \: \\ \bold \green{ = e {}^{ \sqrt{ \cot( \alpha ) } } \times \frac{1}{2 \sqrt{ \cot( \alpha ) } } \times ( - \csc {}^{2} ( \alpha )) } \: \ \boxed { \: ans}$

$\: \bold \orange{ \: till \: then \: be \: happy.........}$