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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

f (x) = (7 x - 8)^{2}

\frac{d}{d y} (y - x)

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

\int e^{u^{2}} d u

\int \frac{x + 2}{x ^{2} + 4} d x

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