What is the derivative of e^{x^2+6x} ?

The derivative of e^{x^2+6x} is e^{x^2+6x}(2x+6)

What is the first derivative of e^{x^2+6x} ?

The first derivative of e^{x^2+6x} is e^{x^2+6x}(2x+6)

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\frac{d}{d x} (e^{x^{2} + 6 x})

e^{x^{2} + 6 x} (2 x + 6)

Solution steps

\frac{d}{d x} (e^{x^{2} + 6 x})

Apply the chain rule:

e^{x^{2} + 6 x} \frac{d}{d x} (x^{2} + 6 x)

= e^{x^{2} + 6 x} \frac{d}{d x} (x^{2} + 6 x)

\frac{d}{d x} (x^{2} + 6 x) = 2 x + 6

= e^{x^{2} + 6 x} (2 x + 6)

\int (5 x + 1)^{4} d x

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

f (x) = 9 - ∣ x - 4 ∣ at x

x \to 5 - lim (\frac{2}{x ^{2} - 25})

\int_{- 2}^{1} (12 x^{5} - 36) d x

What is the derivative of e^{x^2+6x} ?
The derivative of e^{x^2+6x} is e^{x^2+6x}(2x+6)
What is the first derivative of e^{x^2+6x} ?
The first derivative of e^{x^2+6x} is e^{x^2+6x}(2x+6)