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

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

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

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

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

e^{x^{2} + 6} \cdot 2 x

Solution steps

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

Apply the chain rule:

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

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

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

= e^{x^{2} + 6} \cdot 2 x

x \to 1 lim (+ (x))

x \to - 6 lim (\frac{x + 7}{x + 6})

y^{^{'}} = - (2 x + ln (y)) (\frac{y}{x})

\frac{x ^{3}}{3} - x^{2} - 15 x

x \to 0 lim (2 - 6 x)

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