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

The answer to (\partial)/(\partial y)(x^3cos(y)) is -x^3sin(y)

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(\partial)/(\partial y)(x^3cos(y))

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

- x^{3} sin (y)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= x^{3} (- sin (y))

Simplify

= - x^{3} sin (y)

x \to 0 lim (5 x^{2})

y \frac{d y}{d x} = x

(3, 6), (5, 8)

\int sec^{5} (x) tan^{5} (x) d x

\int \frac{25}{x ^{3} - 5 x ^{2}} d x

What is (\partial)/(\partial y)(x^3cos(y)) ?
The answer to (\partial)/(\partial y)(x^3cos(y)) is -x^3sin(y)