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

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

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

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

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derivative of

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

e^{x^{2} + 1} \cdot 2 x

Solution steps

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

Apply the chain rule:

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

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

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

= e^{x^{2} + 1} \cdot 2 x

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