What is the derivative of e^{2^{x^2+3x+1}} ?

The derivative of e^{2^{x^2+3x+1}} is e^{2^{x^2+3x+1}}ln(2)*2^{x^2+3x+1}(2x+3)

What is the first derivative of e^{2^{x^2+3x+1}} ?

The first derivative of e^{2^{x^2+3x+1}} is e^{2^{x^2+3x+1}}ln(2)*2^{x^2+3x+1}(2x+3)

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derivative of

e^{2^{x^{2} + 3 x + 1}}

e^{2^{x^{2} + 3 x + 1}} ln (2) \cdot 2^{x^{2} + 3 x + 1} (2 x + 3)

Solution steps

\frac{d}{d x} (e^{2^{x^{2} + 3 x + 1}})

Apply the chain rule:

e^{2^{x^{2} + 3 x + 1}} \frac{d}{d x} (2^{x^{2} + 3 x + 1})

= e^{2^{x^{2} + 3 x + 1}} \frac{d}{d x} (2^{x^{2} + 3 x + 1})

\frac{d}{d x} (2^{x^{2} + 3 x + 1}) = ln (2) \cdot 2^{x^{2} + 3 x + 1} (2 x + 3)

= e^{2^{x^{2} + 3 x + 1}} ln (2) \cdot 2^{x^{2} + 3 x + 1} (2 x + 3)

\int 22 cos (0.25 x) sin (0.5 x) d x

\frac{d}{d x} (\frac{9 + 2 x}{7 - 4 x})

\int - \frac{sin ( x )}{x} d x

n = 1 \sum \infty (0.5)^{n}

\frac{d y}{d t} = 1 - y

What is the derivative of e^{2^{x^2+3x+1}} ?
The derivative of e^{2^{x^2+3x+1}} is e^{2^{x^2+3x+1}}ln(2)*2^{x^2+3x+1}(2x+3)
What is the first derivative of e^{2^{x^2+3x+1}} ?
The first derivative of e^{2^{x^2+3x+1}} is e^{2^{x^2+3x+1}}ln(2)*2^{x^2+3x+1}(2x+3)