What is the derivative of e^{x^2+2x+1} ?

The derivative of e^{x^2+2x+1} is e^{x^2+2x+1}(2x+2)

What is the first derivative of e^{x^2+2x+1} ?

The first derivative of e^{x^2+2x+1} is e^{x^2+2x+1}(2x+2)

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

e^{x^{2} + 2 x + 1} (2 x + 2)

Solution steps

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

Apply the chain rule:

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

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

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

= e^{x^{2} + 2 x + 1} (2 x + 2)

x \to 4 lim (x + 5)

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

(y^{2} + y x) d x + (- x^{2}) d y = 0

y^{^{'}} = \frac{y ^{2} + 4 x x ^{2} + y ^{2}}{x y}

ln (4 x + 1)

What is the derivative of e^{x^2+2x+1} ?
The derivative of e^{x^2+2x+1} is e^{x^2+2x+1}(2x+2)
What is the first derivative of e^{x^2+2x+1} ?
The first derivative of e^{x^2+2x+1} is e^{x^2+2x+1}(2x+2)