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

The answer to (\partial)/(\partial x)(7e^{x^{10}y}) is 70e^{x^{10}y}x^9y

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

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

70 e^{x^{10} y} x^{9} y

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x^{10} y) = 10 y x^{9}

= 7 e^{x^{10} y} \cdot 10 y x^{9}

Simplify

= 70 e^{x^{10} y} x^{9} y

x \to 5 lim (x^{2} + 2 x - 3)

f (x) = ln (4 x + 7)

\frac{d}{d t} (sin (3 t))

\frac{d}{d x} (y z (x))

\int 4 x^{3} + 2 x y^{2} d x

What is (\partial)/(\partial x)(7e^{x^{10}y}) ?
The answer to (\partial)/(\partial x)(7e^{x^{10}y}) is 70e^{x^{10}y}x^9y