What is the derivative of e^xy^2 ?

The derivative of e^xy^2 is y^2e^x

What is the first derivative of e^xy^2 ?

The first derivative of e^xy^2 is y^2e^x

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derivative of

e^{x} y^{2}

y^{2} e^{x}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= y^{2} e^{x}

3 - 2 x + 4 x^{2}

2 x^{\frac{- 1}{2}}

1 + 6 x

9 e^{- 3} x^{2}

\frac{x + 1 - 4}{( - x + 3 )}

What is the derivative of e^xy^2 ?
The derivative of e^xy^2 is y^2e^x
What is the first derivative of e^xy^2 ?
The first derivative of e^xy^2 is y^2e^x