What is (\partial)/(\partial x)(3sin(4)x^2y) ?

The answer to (\partial)/(\partial x)(3sin(4)x^2y) is 6sin(4)xy

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(\partial)/(\partial x)(3sin(4)x^2y)

\frac{\partial}{\partial x} (3 sin (4) x^{2} y)

6 sin (4) x y

Solution steps

\frac{\partial}{\partial x} (3 sin (4) x^{2} y)

Treat

y

as a constant

Take the constant out:

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

= 3 sin (4) y \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 3 sin (4) y \cdot 2 x^{2 - 1}

Simplify

= 6 sin (4) x y

\frac{\partial}{\partial x} (ln (6 x yz))

x \to 8 + lim (\frac{4}{x - 8})

\int e^{7 x - 9} d x

\int 10 t^{- 3} + 12 t^{- 9} + 4 t^{3} d t

f (y) = \frac{e ^{y} + e ^{- y}}{2}

What is (\partial)/(\partial x)(3sin(4)x^2y) ?
The answer to (\partial)/(\partial x)(3sin(4)x^2y) is 6sin(4)xy