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Derivative of:
Derivative of (-6)/x^4
Derivative of ln(x^2-2x)
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Derivative of 5/x^3
Identical expressions
y=(x^ two + three)sqrt3
y equally (x squared plus 3) square root of 3
y equally (x to the power of two plus three) square root of 3
y=(x^2+3)√3
y=(x2+3)sqrt3
y=x2+3sqrt3
y=(x²+3)sqrt3
y=(x to the power of 2+3)sqrt3
y=x^2+3sqrt3
Similar expressions
y=(x^2-3)sqrt3

The derivative of the function/ y=(x^2+3)sqrt3

Derivative of y=(x^2+3)sqrt3

The solution

You have entered [src]

/ 2    \   ___
\x  + 3/*\/ 3

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

(x^2 + 3)*sqrt(3)

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Differentiate $x^{2} + 3$ term by term:
  1. Apply the power rule: $x^{2}$ goes to $2 x$
  2. The derivative of the constant $3$ is zero.
  The result is: $2 x$
So, the result is: $2 \sqrt{3} x$

The answer is:

$2 \sqrt{3} x$

The graph

Plot the graph f(x)

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The first derivative [src]

      ___
2*x*\/ 3

$$2 \sqrt{3} x$$

Simplify

The second derivative [src]

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2*\/ 3

$$2 \sqrt{3}$$

Simplify

3-я производная [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of y=(x^2+3)sqrt3