What is the derivative of e^{4y-x^2-y^2} ?

The derivative of e^{4y-x^2-y^2} is e^{4y-x^2-y^2}(4(dy)/(dx)-2x-2y(dy)/(dx))

What is the first derivative of e^{4y-x^2-y^2} ?

The first derivative of e^{4y-x^2-y^2} is e^{4y-x^2-y^2}(4(dy)/(dx)-2x-2y(dy)/(dx))

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Popular >

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

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

Solution steps

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

Apply the chain rule:

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

= e^{4 y - x^{2} - y^{2}} \frac{d}{d x} (4 y - x^{2} - y^{2})

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

= e^{4 y - x^{2} - y^{2}} (4 \frac{d y}{d x} - 2 x - 2 y \frac{d y}{d x})

= e^{4 y - x^{2} - y^{2}} (4 \frac{d y}{d x} - 2 x - 2 y \frac{d y}{d x})

\int_{\frac{π}{4}}^{\infty} \frac{7}{x} d x

n = 1 \sum \infty \frac{n ^{2}}{3 ^{n}}

\frac{d}{d x} (x^{n})

\int_{0}^{2} x^{5} \cdot e^{x^{2}} d x

\int (sin^{4} (x)) (cos^{2} (x)) d x

What is the derivative of e^{4y-x^2-y^2} ?
The derivative of e^{4y-x^2-y^2} is e^{4y-x^2-y^2}(4(dy)/(dx)-2x-2y(dy)/(dx))
What is the first derivative of e^{4y-x^2-y^2} ?
The first derivative of e^{4y-x^2-y^2} is e^{4y-x^2-y^2}(4(dy)/(dx)-2x-2y(dy)/(dx))