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

The derivative of e^{x+2y} is e^{x+2y}(1+2(dy)/(dx))

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

The first derivative of e^{x+2y} is e^{x+2y}(1+2(dy)/(dx))

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

e^{x + 2 y} (1 + 2 \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) = 1 + 2 \frac{d y}{d x}

= e^{x + 2 y} (1 + 2 \frac{d y}{d x})

\frac{5 w}{2}

2 \cdot 4.3 \cdot 1 0^{- 4}

3 x^{- 2}

(e^{4 - 3 x})^{2}

32768 e^{- 0.3 (10)}

What is the derivative of e^{x+2y} ?
The derivative of e^{x+2y} is e^{x+2y}(1+2(dy)/(dx))
What is the first derivative of e^{x+2y} ?
The first derivative of e^{x+2y} is e^{x+2y}(1+2(dy)/(dx))