What is (\partial)/(\partial x)(-3e^xln(y)) ?

The answer to (\partial)/(\partial x)(-3e^xln(y)) is -3ln(y)e^x

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(\partial)/(\partial x)(-3e^xln(y))

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

- 3 ln (y) e^{x}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= - 3 ln (y) e^{x}

\int \frac{x ^{3}}{x ^{2} - 4} d x

x \to 1 + lim (\frac{( 2 )}{x - 1})

\int_{- 2}^{3} (x^{2} - 4) d x

\int \frac{2 x}{x ^{2} + 6 x + 13} d x

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

What is (\partial)/(\partial x)(-3e^xln(y)) ?
The answer to (\partial)/(\partial x)(-3e^xln(y)) is -3ln(y)e^x