What is (\partial)/(\partial x)(x^3y+xcos(y)) ?

The answer to (\partial)/(\partial x)(x^3y+xcos(y)) is 3yx^2+cos(y)

Popular >

(\partial)/(\partial x)(x^3y+xcos(y))

\frac{\partial}{\partial x} (x^{3} y + x cos (y))

3 y x^{2} + cos (y)

Solution steps

\frac{\partial}{\partial x} (x^{3} y + x cos (y))

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{3} y) + \frac{\partial}{\partial x} (x cos (y))

\frac{\partial}{\partial x} (x^{3} y) = 3 y x^{2}

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

= 3 y x^{2} + cos (y)

\frac{d y}{d x} = \frac{1}{2} y^{3}

\frac{\partial}{\partial x} (cos^{7} (x^{9} y^{8}))

\frac{1}{e ^{x}}

(y^{3} - 1) e^{x} + 3 y^{2} (e^{x} + 1) \frac{d y}{d x} = 0, y (0) = 2

y^{^{''}} - 2 y^{^{'}} - 12 y = 0

What is (\partial)/(\partial x)(x^3y+xcos(y)) ?
The answer to (\partial)/(\partial x)(x^3y+xcos(y)) is 3yx^2+cos(y)