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

The derivative of e^{yx^2} is e^{yx^2}x^2

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

The first derivative of e^{yx^2} is e^{yx^2}x^2

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derivative of

e^{y x^{2}}

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

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

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

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

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

\frac{d}{d x} (x (12 - 2 x)^{2})

\int 8 e^{4 x} cos (6 x) d x

y^{^{''}} + 2 y^{^{'}} + 2 y = sin (7 x)

\frac{\partial}{\partial x} (e^{- x^{3} - y^{6}})

What is the derivative of e^{yx^2} ?
The derivative of e^{yx^2} is e^{yx^2}x^2
What is the first derivative of e^{yx^2} ?
The first derivative of e^{yx^2} is e^{yx^2}x^2