What is the derivative of e^{4x^{2+1}} ?

The derivative of e^{4x^{2+1}} is e^{4x^3}*12x^2

What is the first derivative of e^{4x^{2+1}} ?

The first derivative of e^{4x^{2+1}} is e^{4x^3}*12x^2

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\frac{d}{d x} (e^{4 x^{2 + 1}})

e^{4 x^{3}} \cdot 12 x^{2}

Solution steps

\frac{d}{d x} (e^{4 x^{2 + 1}})

Simplify

e^{4 x^{2 + 1}} : e^{4 x^{3}}

= \frac{d}{d x} (e^{4 x^{3}})

Apply the chain rule:

e^{4 x^{3}} \frac{d}{d x} (4 x^{3})

= e^{4 x^{3}} \frac{d}{d x} (4 x^{3})

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

= e^{4 x^{3}} \cdot 12 x^{2}

x \to 0 + lim (\frac{2}{x} - \frac{3}{2})

\int cos (x) (3 + 8 sin^{2} (x)) d x

x \to 3 + lim (\frac{3 x + 2}{x - 3})

\frac{d}{d x} (- e^{x} sin (x))

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

What is the derivative of e^{4x^{2+1}} ?
The derivative of e^{4x^{2+1}} is e^{4x^3}*12x^2
What is the first derivative of e^{4x^{2+1}} ?
The first derivative of e^{4x^{2+1}} is e^{4x^3}*12x^2