What is (\partial)/(\partial x)(ye^{2x}) ?

The answer to (\partial)/(\partial x)(ye^{2x}) is ye^{2x}*2

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(\partial)/(\partial x)(ye^{2x})

\frac{\partial}{\partial x} (y e^{2 x})

y e^{2 x} \cdot 2

Solution steps

\frac{\partial}{\partial x} (y e^{2 x})

Treat

y

as a constant

Take the constant out:

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

= y \frac{\partial}{\partial x} (e^{2 x})

Apply the chain rule:

e^{2 x} \frac{\partial}{\partial x} (2 x)

= e^{2 x} \frac{\partial}{\partial x} (2 x)

\frac{\partial}{\partial x} (2 x) = 2

= y e^{2 x} \cdot 2

\int \frac{3 x ^{2}}{x ^{4} - 1} d x

2 x^{2} - 7

\frac{d}{d y} (\frac{A}{y ^{11}} + B e^{y})

\int \frac{2 x ^{3} - 5 x ^{2} + x - 6}{x} d x

x \to 0 lim (\frac{16}{x ^{4}})

What is (\partial)/(\partial x)(ye^{2x}) ?
The answer to (\partial)/(\partial x)(ye^{2x}) is ye^{2x}*2