What is (\partial)/(\partial x)(5e^{xy+4}) ?

The answer to (\partial)/(\partial x)(5e^{xy+4}) is 5e^{xy+4}y

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(\partial)/(\partial x)(5e^{xy+4})

\frac{\partial}{\partial x} (5 e^{x y + 4})

5 e^{x y + 4} y

Solution steps

\frac{\partial}{\partial x} (5 e^{x y + 4})

Treat

y

as a constant

Take the constant out:

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

= 5 \frac{\partial}{\partial x} (e^{x y + 4})

Apply the chain rule:

e^{x y + 4} \frac{\partial}{\partial x} (x y + 4)

= e^{x y + 4} \frac{\partial}{\partial x} (x y + 4)

\frac{\partial}{\partial x} (x y + 4) = y

= 5 e^{x y + 4} y

y^{^{''}} + 25 y = 2 tan (5 x)

\frac{2 s + 5}{s ^{2} + 5 s + 6}

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

x, x = 1

y = 3 x^{3} + x^{2} - 8 x + 4, (- 2, 0)

What is (\partial)/(\partial x)(5e^{xy+4}) ?
The answer to (\partial)/(\partial x)(5e^{xy+4}) is 5e^{xy+4}y