What is (\partial)/(\partial x)(t^2x-t) ?

The answer to (\partial)/(\partial x)(t^2x-t) is t^2

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(\partial)/(\partial x)(t^2x-t)

\frac{\partial}{\partial x} (t^{2} x - t)

t^{2}

Solution steps

\frac{\partial}{\partial x} (t^{2} x - t)

Treat

t

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (t^{2} x) - \frac{\partial}{\partial x} (t)

\frac{\partial}{\partial x} (t^{2} x) = t^{2}

\frac{\partial}{\partial x} (t) = 0

= t^{2} - 0

Simplify

= t^{2}

What is (\partial)/(\partial x)(t^2x-t) ?
The answer to (\partial)/(\partial x)(t^2x-t) is t^2