What is (\partial)/(\partial x)(3e^{xy+9}) ?

The answer to (\partial)/(\partial x)(3e^{xy+9}) is 3e^{xy+9}y

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(\partial)/(\partial x)(3e^{xy+9})

\frac{\partial}{\partial x} (3 e^{x y + 9})

3 e^{x y + 9} y

Solution steps

\frac{\partial}{\partial x} (3 e^{x y + 9})

Treat

y

as a constant

Take the constant out:

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

= 3 \frac{\partial}{\partial x} (e^{x y + 9})

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x y + 9) = y

= 3 e^{x y + 9} y

f (x) = \frac{3 - 2 x}{3 + 2 x}

x \to - 6 lim (2 x + 3)

y = (2 x^{4} + 7)^{2}

\int \frac{y}{y ^{2} - 2 y - 3} d y

\frac{d}{d x} (f (x) (g (x)))

What is (\partial)/(\partial x)(3e^{xy+9}) ?
The answer to (\partial)/(\partial x)(3e^{xy+9}) is 3e^{xy+9}y