What is (\partial)/(\partial x)(2e^{x^9y}) ?

The answer to (\partial)/(\partial x)(2e^{x^9y}) is 18e^{x^9y}x^8y

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(\partial)/(\partial x)(2e^{x^9y})

\frac{\partial}{\partial x} (2 e^{x^{9} y})

18 e^{x^{9} y} x^{8} y

Solution steps

\frac{\partial}{\partial x} (2 e^{x^{9} y})

Treat

y

as a constant

Take the constant out:

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

= 2 \frac{\partial}{\partial x} (e^{x^{9} y})

Apply the chain rule:

e^{x^{9} y} \frac{\partial}{\partial x} (x^{9} y)

= e^{x^{9} y} \frac{\partial}{\partial x} (x^{9} y)

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

= 2 e^{x^{9} y} \cdot 9 y x^{8}

Simplify

= 18 e^{x^{9} y} x^{8} y

(\frac{x + 9}{x - 9})^{5}

x \to 16 lim (\frac{( 4 - x )}{( 16 x - x ^{2} )})

\int (1 - t^{- 0.52}) d t

y^{^{'}} = y - 1

\int_{0}^{10} (6 e^{0.2 x} + 2) d x

What is (\partial)/(\partial x)(2e^{x^9y}) ?
The answer to (\partial)/(\partial x)(2e^{x^9y}) is 18e^{x^9y}x^8y