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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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

x^{2} + 6, 12 + 4 x - x^{2}

n = 1 \sum \infty 0. 4^{n}

f (x) = x^{3} - x^{2}

f (x) = 4 x^{2} + 2

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