What is (\partial)/(\partial x)(y^3sin(6x)) ?

The answer to (\partial)/(\partial x)(y^3sin(6x)) is y^3cos(6x)*6

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(\partial)/(\partial x)(y^3sin(6x))

\frac{\partial}{\partial x} (y^{3} sin (6 x))

y^{3} cos (6 x) \cdot 6

Solution steps

\frac{\partial}{\partial x} (y^{3} sin (6 x))

Treat

y

as a constant

Take the constant out:

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

= y^{3} \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^{3} cos (6 x) \cdot 6

f (x) = \frac{2}{3 x + 5}, (- 1, 1)

x \to 0 lim (\frac{x ^{2} + 7 x}{x})

\int (2 t + 3)^{- 3} d t

f (x) = \frac{2 x - 1}{x + 5}, at x = 4

\int \frac{x ^{2} + 9}{x ^{4}} d x

What is (\partial)/(\partial x)(y^3sin(6x)) ?
The answer to (\partial)/(\partial x)(y^3sin(6x)) is y^3cos(6x)*6