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The derivative of the function/ 3sqrtx^2

Derivative of 3sqrtx^2

The solution

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       2
    ___ 
3*\/ x

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

3*(sqrt(x))^2

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Let $u = \sqrt{x}$ .
2. Apply the power rule: $u^{2}$ goes to $2 u$
3. Then, apply the chain rule. Multiply by $\frac{d}{d x} \sqrt{x}$ :
  1. Apply the power rule: $\sqrt{x}$ goes to $\frac{1}{2 \sqrt{x}}$
  The result of the chain rule is:
  
  $1$
So, the result is: $3$

The answer is:

$3$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

$$3$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of 3sqrtx^2