What is (\partial)/(\partial x)(2e^{x^8y}) ?

The answer to (\partial)/(\partial x)(2e^{x^8y}) is 16e^{x^8y}x^7y

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(\partial)/(\partial x)(2e^{x^8y})

\frac{\partial}{\partial x} (2 e^{x^{8} y})

16 e^{x^{8} y} x^{7} y

Solution steps

\frac{\partial}{\partial x} (2 e^{x^{8} y})

Treat

y

as a constant

Take the constant out:

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

= 2 \frac{\partial}{\partial x} (e^{x^{8} y})

Apply the chain rule:

e^{x^{8} y} \frac{\partial}{\partial x} (x^{8} y)

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

\frac{\partial}{\partial x} (x^{8} y) = 8 y x^{7}

= 2 e^{x^{8} y} \cdot 8 y x^{7}

Simplify

= 16 e^{x^{8} y} x^{7} y

9 y^{^{''}} + 9 y^{^{'}} - 4 y = 0

x \to 0 lim (x cos (\frac{9}{x}))

\frac{d ^{2}}{d x ^{2}} (\frac{7}{8 t ^{5}})

x \to 1 - lim (x - 2)

y = 1 + x, y = \frac{( 3 + x )}{3}

What is (\partial)/(\partial x)(2e^{x^8y}) ?
The answer to (\partial)/(\partial x)(2e^{x^8y}) is 16e^{x^8y}x^7y