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

The derivative of (1+2x)e^{3x^2} is 2e^{3x^2}+e^{3x^2}*6x(1+2x)

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

The first derivative of (1+2x)e^{3x^2} is 2e^{3x^2}+e^{3x^2}*6x(1+2x)

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derivative of

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

2 e^{3 x^{2}} + e^{3 x^{2}} \cdot 6 x (1 + 2 x)

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 1 + 2 x, g = e^{3 x^{2}}

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

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

\frac{d}{d x} (e^{3 x^{2}}) = e^{3 x^{2}} \cdot 6 x

= 2 e^{3 x^{2}} + e^{3 x^{2}} \cdot 6 x (1 + 2 x)

y^{^{''}} - 14 y^{^{'}} + 48 y = 0

\frac{3}{s \cdot ( s + 2 )}

8 x^{2} - 5 x, x^{3} - 8 x + 3

\int x + 10 d x

What is the derivative of (1+2x)e^{3x^2} ?
The derivative of (1+2x)e^{3x^2} is 2e^{3x^2}+e^{3x^2}*6x(1+2x)
What is the first derivative of (1+2x)e^{3x^2} ?
The first derivative of (1+2x)e^{3x^2} is 2e^{3x^2}+e^{3x^2}*6x(1+2x)