What is (\partial)/(\partial x)(6e^{xy+5}) ?

The answer to (\partial)/(\partial x)(6e^{xy+5}) is 6e^{xy+5}y

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(\partial)/(\partial x)(6e^{xy+5})

\frac{\partial}{\partial x} (6 e^{x y + 5})

6 e^{x y + 5} y

Solution steps

\frac{\partial}{\partial x} (6 e^{x y + 5})

Treat

y

as a constant

Take the constant out:

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

= 6 \frac{\partial}{\partial x} (e^{x y + 5})

Apply the chain rule:

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

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

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

= 6 e^{x y + 5} y

ln (\frac{( 1 + x )}{1 - x})

\frac{d}{d x} (- (x - 3)^{2} (1 - x)^{2})

\frac{\partial}{\partial x} ((4 x + 4) (ln (8 x y)))

\frac{d}{d x} (A x^{2} e^{- 2 x})

\int (sec^{2} (x) - 5) d x

What is (\partial)/(\partial x)(6e^{xy+5}) ?
The answer to (\partial)/(\partial x)(6e^{xy+5}) is 6e^{xy+5}y