Derivative of 2*3^x

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   x
2*3

$$2 \cdot 3^{x}$$

d /   x\
--\2*3 /
dx

$$\frac{d}{d x} 2 \cdot 3^{x}$$

Transform

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. $\frac{d}{d x} 3^{x} = 3^{x} \log{\left(3 \right)}$
So, the result is: $2 \cdot 3^{x} \log{\left(3 \right)}$

The answer is:

$2 \cdot 3^{x} \log{\left(3 \right)}$

The graph

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The first derivative [src]

   x       
2*3 *log(3)

$$2 \cdot 3^{x} \log{\left(3 \right)}$$

Simplify

The second derivative [src]

   x    2   
2*3 *log (3)

$$2 \cdot 3^{x} \log{\left(3 \right)}^{2}$$

Simplify

The third derivative [src]

   x    3   
2*3 *log (3)

$$2 \cdot 3^{x} \log{\left(3 \right)}^{3}$$

Simplify

3-я производная [src]

   x    3   
2*3 *log (3)

$$2 \cdot 3^{x} \log{\left(3 \right)}^{3}$$

Simplify

The graph