What is the derivative of e^{sqrt(3y-x^2)} ?

The derivative of e^{sqrt(3y-x^2)} is (e^{sqrt(3y-x^2)}(3\frac{dy)/(dx)-2x)}{2sqrt(3y-x^2)}

What is the first derivative of e^{sqrt(3y-x^2)} ?

The first derivative of e^{sqrt(3y-x^2)} is (e^{sqrt(3y-x^2)}(3\frac{dy)/(dx)-2x)}{2sqrt(3y-x^2)}

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Popular >

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

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

Solution steps

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

Apply the chain rule:

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

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

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

= e^{3 y - x^{2}} \frac{3 \frac{d y}{d x} - 2 x}{2 3 y - x ^{2}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

\int (2 x - 4)^{5} d x

\frac{\partial}{\partial x} (4 x^{2} + 3 y^{2} - 4 x y + x)

\frac{d}{d x} (e^{t a n (3 x)})

\frac{d}{d t} (\frac{t}{2})

\int \frac{12}{x ^{3} + 8} d x

What is the derivative of e^{sqrt(3y-x^2)} ?
The derivative of e^{sqrt(3y-x^2)} is (e^{sqrt(3y-x^2)}(3\frac{dy)/(dx)-2x)}{2sqrt(3y-x^2)}
What is the first derivative of e^{sqrt(3y-x^2)} ?
The first derivative of e^{sqrt(3y-x^2)} is (e^{sqrt(3y-x^2)}(3\frac{dy)/(dx)-2x)}{2sqrt(3y-x^2)}