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

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

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

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

y^{2} e^{2 x} \cdot 2

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

= y^{2} \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^{2} e^{2 x} \cdot 2

\frac{d}{d x} (e^{x^{2} - 4} + 2 x + 9)

\frac{d}{d x} (tan^{4} (cot (3 x^{4} + 5 x)))

x \frac{d y}{d x} = x^{3} + 24 x^{3} y

\int (2 cos (x)) d x

\frac{d y}{d x} = \frac{3 sec ( y )}{( x - 3 ) ^{2}}

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