What is (\partial)/(\partial y)(y-e^t) ?

The answer to (\partial)/(\partial y)(y-e^t) is 1

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(\partial)/(\partial y)(y-e^t)

\frac{\partial}{\partial y} (y - e^{t})

1

Solution steps

\frac{\partial}{\partial y} (y - e^{t})

Treat

t

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (y) - \frac{\partial}{\partial y} (e^{t})

\frac{\partial}{\partial y} (y) = 1

\frac{\partial}{\partial y} (e^{t}) = 0

= 1 - 0

Simplify

= 1

\frac{d}{d x} (\frac{x y + 2 y - x - 2}{x y - 3 y + x - 3})

csc (y) d x + sec (2 x) d y = 0

\frac{\partial}{\partial x} (cos (π) x)

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2}}{1 + 2 x})

\int_{\frac{1}{2}}^{2} (1 - \frac{1}{x ^{2}}) d x

What is (\partial)/(\partial y)(y-e^t) ?
The answer to (\partial)/(\partial y)(y-e^t) is 1