What is (\partial)/(\partial x)(10e^{x^7y}) ?

The answer to (\partial)/(\partial x)(10e^{x^7y}) is 70e^{x^7y}x^6y

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(\partial)/(\partial x)(10e^{x^7y})

\frac{\partial}{\partial x} (10 e^{x^{7} y})

70 e^{x^{7} y} x^{6} y

Solution steps

\frac{\partial}{\partial x} (10 e^{x^{7} y})

Treat

y

as a constant

Take the constant out:

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

= 10 \frac{\partial}{\partial x} (e^{x^{7} y})

Apply the chain rule:

e^{x^{7} y} \frac{\partial}{\partial x} (x^{7} y)

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

\frac{\partial}{\partial x} (x^{7} y) = 7 y x^{6}

= 10 e^{x^{7} y} \cdot 7 y x^{6}

Simplify

= 70 e^{x^{7} y} x^{6} y

1.8 e^{2 x} - 45

y = \frac{x}{6 + x}

\frac{5}{s ^{2} + 49}

n = 0 \sum \infty (- \frac{5}{4})^{- 2 n}

h \to 0 lim (\frac{a ^{h} - 1}{h})

What is (\partial)/(\partial x)(10e^{x^7y}) ?
The answer to (\partial)/(\partial x)(10e^{x^7y}) is 70e^{x^7y}x^6y