What is (\partial)/(\partial x)(e^xsin(y+z)-z) ?

The answer to (\partial)/(\partial x)(e^xsin(y+z)-z) is e^xsin(y+z)

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(\partial)/(\partial x)(e^xsin(y+z)-z)

\frac{\partial}{\partial x} (e^{x} sin (y + z) - z)

e^{x} sin (y + z)

Solution steps

\frac{\partial}{\partial x} (e^{x} sin (y + z) - z)

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (e^{x} sin (y + z)) - \frac{\partial}{\partial x} (z)

\frac{\partial}{\partial x} (e^{x} sin (y + z)) = sin (y + z) e^{x}

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

= sin (y + z) e^{x} - 0

Simplify

= e^{x} sin (y + z)

x \to 4 lim (3 - 2)

f (x) = 4 - x

\int \frac{( sec ( x ) + cos ( x ) )}{5 cos ( x )} d x

\int cos^{3} (x) sin^{5} (x) d x

y = x^{2} - 3, (2, 1)

What is (\partial)/(\partial x)(e^xsin(y+z)-z) ?
The answer to (\partial)/(\partial x)(e^xsin(y+z)-z) is e^xsin(y+z)