Question

Help!!

Explain steps with star.

Answer 1

$\bf HELLO \: \: DEAR,$

put ∆ = d

$\bf dy/dx = 1/dx. log_{e}(1 + \frac{dx}{x})$

$\bf dy/dx = \frac{x}{x} * \frac{1}{dx} * log_{e}(1 + \frac{dx}{x})$

$\bf dy/dx = \frac{1}{x} * \frac{x}{dx} log_{e}(1 + \frac{dx}{x})$

$\bf dy/dx = \frac{1}{x} * log_{e}(1 + \frac{dx}{x})^{\frac{dx}{x}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \therefore \boxed{\bf log_{e}x^{y} = ylog_{e}x}$

$\underline{\bf I \: \: HOPE \: \: ITS \: \: HELP \: \: YOU \: \: DEAR, \: \: THANKS}$

Answer 2

Hello Mahika Ji.

Please see the attached file !


Thanks