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

The derivative of 3^{x^2}+2 is 2ln(3)*3^{x^2}x

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

The first derivative of 3^{x^2}+2 is 2ln(3)*3^{x^2}x

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

2 ln (3) \cdot 3^{x^{2}} x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2) = 0

= 2 ln (3) \cdot 3^{x^{2}} x + 0

Simplify

= 2 ln (3) \cdot 3^{x^{2}} x

\int e^{- 6 x} sin (3 x) d x

x \to 3 lim (x^{2} + 4 x - 6)

p (x) = x e^{x, x}

\int sin^{5} (3 x) d x

\frac{d y}{d t} - \frac{4}{t} \cdot y = t^{5}

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