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

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

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

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

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

e^{x^{2} + 3 x} (2 x + 3)

Solution steps

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

Apply the chain rule:

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

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

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

= e^{x^{2} + 3 x} (2 x + 3)

f (x) = r^{2} - 14 x^{2}

\frac{d}{d x} (a x + b)

\frac{d}{d x} ((- 2 cos (2 x) - sin (3 x) - 3)^{2})

\int x^{- n} d x

y = (2 lo g_{e} (x) - 3)^{4}

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