Question

determine el valor de d²y/dx² en el valor dado de t.

x=7t, y=4t, t=6 (rad)

Answer 1

$\frac{ {d}^{2} y}{ {d}^{2} x} =0$

Explicación paso a paso:

$\frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} } = \frac{4}{7} \\ \frac{dy}{dx} = \frac{4}{7} \\ \frac{ {d}^{2} y}{ {d}^{2} x} = \frac{d( \frac{dy}{dx}) }{dx} = \frac{d( 4) }{dx} = 0 \\ \frac{ {d}^{2} y}{ {d}^{2} x} =0$