What is the derivative of 30(2e^{x^2}x^2+e^{x^2}) ?

The derivative of 30(2e^{x^2}x^2+e^{x^2}) is 30(4e^{x^2}x^3+6e^{x^2}x)

What is the first derivative of 30(2e^{x^2}x^2+e^{x^2}) ?

The first derivative of 30(2e^{x^2}x^2+e^{x^2}) is 30(4e^{x^2}x^3+6e^{x^2}x)

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derivative of

30 (2 e^{x^{2}} x^{2} + e^{x^{2}})

30 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)

Solution steps

\frac{d}{d x} (30 (2 e^{x^{2}} x^{2} + e^{x^{2}}))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 30 \frac{d}{d x} (2 e^{x^{2}} x^{2} + e^{x^{2}})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= 30 (\frac{d}{d x} (2 e^{x^{2}} x^{2}) + \frac{d}{d x} (e^{x^{2}}))

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

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

= 30 (2 (2 e^{x^{2}} x^{3} + 2 e^{x^{2}} x) + e^{x^{2}} \cdot 2 x)

Expand

2 (2 e^{x^{2}} x^{3} + 2 e^{x^{2}} x) + e^{x^{2}} \cdot 2 x : 4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x

= 30 (4 e^{x^{2}} x^{3} + 6 e^{x^{2}} x)

x \to + 4 lim (9 x + ∣ x - 4 ∣)

- sin^{3} (x)

\frac{\partial}{\partial x} (2 y sin (x) - x^{3} + ln (y))

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

\int 5 x + x d x

What is the derivative of 30(2e^{x^2}x^2+e^{x^2}) ?
The derivative of 30(2e^{x^2}x^2+e^{x^2}) is 30(4e^{x^2}x^3+6e^{x^2}x)
What is the first derivative of 30(2e^{x^2}x^2+e^{x^2}) ?
The first derivative of 30(2e^{x^2}x^2+e^{x^2}) is 30(4e^{x^2}x^3+6e^{x^2}x)