What is the derivative of e^{xy^2} ?

The derivative of e^{xy^2} is e^{xy^2}y^2

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

The first derivative of e^{xy^2} is e^{xy^2}y^2

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derivative of

e^{x y^{2}}

e^{x y^{2}} y^{2}

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

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

\frac{2 x}{- x + 2}

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

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

x \to 0 lim (tan^{x} (2 x))

y = 2 x^{2} 25 - x^{2}

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