What is (\partial)/(\partial x)(6e^{xy+3}) ?

The answer to (\partial)/(\partial x)(6e^{xy+3}) is 6e^{xy+3}y

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(\partial)/(\partial x)(6e^{xy+3})

\frac{\partial}{\partial x} (6 e^{x y + 3})

6 e^{x y + 3} y

Solution steps

\frac{\partial}{\partial x} (6 e^{x y + 3})

Treat

y

as a constant

Take the constant out:

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

= 6 \frac{\partial}{\partial x} (e^{x y + 3})

Apply the chain rule:

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

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

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

= 6 e^{x y + 3} y

n = 0 \sum \infty \frac{1}{n ^{\frac{1}{2}}}

\frac{x ^{2}}{3 ( 2 - x )}

\int_{0}^{0.5} 8 x (0.5 - x) d x

y = - 2 sin (x), at x = \frac{3 π}{4}

x \to 0 lim (\frac{sin ( 5 x )}{x})

What is (\partial)/(\partial x)(6e^{xy+3}) ?
The answer to (\partial)/(\partial x)(6e^{xy+3}) is 6e^{xy+3}y