Question

Differentiale q² = x² with respect time.​

Answer 1

Answer:

$\frac{dq}{dt} = ( \frac{q}{t} ) \frac{dx}{dt} .$

Step-by-step explanation:

${q}^{2} = {x}^{2} \\ \\ \frac{d( {q}^{2}) }{dt} = \frac{d {x}^{2} }{dt} \\ \\ 2q \frac{dq}{dt} = 2x \frac{dx}{dt} \\ \\ \frac{dq}{dt} = (\frac{x}{t} ) \frac{dx}{dt} .$

Answer 2

Answer:

$\frac{dq}{dt} = \frac{x}{q} \frac{dx}{dt} \: or \: \frac{dq}{dx} = \frac{x}{q}$

Step-by-step explanation:

${q}^{2} = {x}^{2} \\ \frac{d( {q}^{2} )}{dt} = \frac{d( {x}^{2} )}{dt} \\ 2q \frac{dq}{dt} = 2x \frac{dx}{dt} \\ \frac{dq}{dt} = \frac{x}{q} \frac{dx}{dt} \\ or \: \frac{dq}{dx} = \frac{x}{q}$