What is (\partial)/(\partial x)(y^6sin(6x)) ?

The answer to (\partial)/(\partial x)(y^6sin(6x)) is y^6cos(6x)*6

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(\partial)/(\partial x)(y^6sin(6x))

\frac{\partial}{\partial x} (y^{6} sin (6 x))

y^{6} cos (6 x) \cdot 6

Solution steps

\frac{\partial}{\partial x} (y^{6} sin (6 x))

Treat

y

as a constant

Take the constant out:

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

= y^{6} \frac{\partial}{\partial x} (sin (6 x))

Apply the chain rule:

cos (6 x) \frac{\partial}{\partial x} (6 x)

= cos (6 x) \frac{\partial}{\partial x} (6 x)

\frac{\partial}{\partial x} (6 x) = 6

= y^{6} cos (6 x) \cdot 6

\int \frac{1}{x x ^{2} + a ^{2}} d x

y^{^{'}} = x + 9 y

\frac{d}{d x} (x^{3} cos (x) - x^{3} sin (x))

x \to 2 lim (\frac{x ^{2}}{2 x - 4})

2 t^{3} - 15 t^{2} + 24 t

What is (\partial)/(\partial x)(y^6sin(6x)) ?
The answer to (\partial)/(\partial x)(y^6sin(6x)) is y^6cos(6x)*6