What is the derivative of e^{2x+3y} ?

The derivative of e^{2x+3y} is e^{2x+3y}(2+3(dy)/(dx))

What is the first derivative of e^{2x+3y} ?

The first derivative of e^{2x+3y} is e^{2x+3y}(2+3(dy)/(dx))

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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