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

The derivative of e^{3x+2} is e^{3x+2}*3

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

The first derivative of e^{3x+2} is e^{3x+2}*3

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

e^{3 x + 2} \cdot 3

Solution steps

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

Apply the chain rule:

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

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

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

= e^{3 x + 2} \cdot 3

\int \frac{5 x ^{2} - 10 x - 8}{x ^{3} - 4 x} d x

\int \frac{3}{( t ^{2} + 1 ) ^{\frac{3}{2}}} d t

(x^{2} + 1) \frac{d y}{d x} + 3 x (y - 1) = 0, y (0) = 4

\frac{\partial}{\partial x} (x cos (y ln (x)))

x \to 0.1 lim (\frac{1}{x})

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