What is (\partial)/(\partial y)(10e^xsin(y)z^3) ?

The answer to (\partial)/(\partial y)(10e^xsin(y)z^3) is 10e^xz^3cos(y)

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(\partial)/(\partial y)(10e^xsin(y)z^3)

\frac{\partial}{\partial y} (10 e^{x} sin (y) z^{3})

10 e^{x} z^{3} cos (y)

Solution steps

\frac{\partial}{\partial y} (10 e^{x} sin (y) z^{3})

Treat

x, z

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 10 e^{x} z^{3} \frac{\partial}{\partial y} (sin (y))

Apply the common derivative:

\frac{\partial}{\partial y} (sin (y)) = cos (y)

= 10 e^{x} z^{3} cos (y)

f (x) = \frac{8 x}{x ^{2} + 1}, (- 1, - 4)

\int_{- 2}^{0} (x + 2)^{2} d x

\frac{x}{x}

2.6 - 3.15 t^{2} + 7.3 t^{3}

x \to 0 lim (sin (6 x))

What is (\partial)/(\partial y)(10e^xsin(y)z^3) ?
The answer to (\partial)/(\partial y)(10e^xsin(y)z^3) is 10e^xz^3cos(y)