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

The derivative of e^{3x+2x^2} is e^{3x+2x^2}(3+4x)

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

The first derivative of e^{3x+2x^2} is e^{3x+2x^2}(3+4x)

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

e^{3 x + 2 x^{2}} (3 + 4 x)

Solution steps

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

Apply the chain rule:

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

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

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

= e^{3 x + 2 x^{2}} (3 + 4 x)

h \to 0 lim (h^{2} - 3)

\frac{d}{d t} (\frac{1}{2} t^{2})

25 y^{^{''}} + 60 y^{^{'}} + 36 y = 0

y = \frac{x ^{2} + 7 x - 2}{x - 2}

\frac{d x}{d t} = 4 (x^{2} + 1), x (\frac{π}{4}) = 1

What is the derivative of e^{3x+2x^2} ?
The derivative of e^{3x+2x^2} is e^{3x+2x^2}(3+4x)
What is the first derivative of e^{3x+2x^2} ?
The first derivative of e^{3x+2x^2} is e^{3x+2x^2}(3+4x)