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 (θ) = 3 cos (θ)

\int \frac{1}{cos ^{2} ( t ) 1 + tan ( t )} d t

x \to 2 lim (\frac{5}{( x - 5 ) ^{2}})

3 y^{^{''}} - 6 y^{^{'}} + 6 y = 0

\int \frac{4 x ^{2}}{3 x ^{3} - 6} d 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)