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Derivative of:
Derivative of 5*x^2-2/sqrt(x)+sin(pi/4)
Derivative of x^3-3*x
Derivative of ln(x)^2
Derivative of ln(1/x)
Identical expressions
y=x*arctg(3x^ two)
y equally x multiply by arctg(3x squared )
y equally x multiply by arctg(3x to the power of two)
y=x*arctg(3x2)
y=x*arctg3x2
y=x*arctg(3x²)
y=x*arctg(3x to the power of 2)
y=xarctg(3x^2)
y=xarctg(3x2)
y=xarctg3x2
y=xarctg3x^2

The derivative of the function/ y=x*arctg(3x^2)

Derivative of y=x*arctg(3x^2)

The solution

You have entered [src]

      /   2\
x*atan\3*x /

x \operatorname{atan}{\left(3 x^{2} \right)}

x*atan(3*x^2)

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

     2               
  6*x          /   2\
-------- + atan\3*x /
       4             
1 + 9*x

\frac{6 x^{2}}{9 x^{4} + 1} + \operatorname{atan}{\left(3 x^{2} \right)}

Simplify

The second derivative [src]

    /         4  \
    |     36*x   |
6*x*|3 - --------|
    |           4|
    \    1 + 9*x /
------------------
            4     
     1 + 9*x

\frac{6 x \left(- \frac{36 x^{4}}{9 x^{4} + 1} + 3\right)}{9 x^{4} + 1}

Simplify

The third derivative [src]

   /                     /          4  \\
   |                   4 |      72*x   ||
   |               12*x *|-5 + --------||
   |         4           |            4||
   |     36*x            \     1 + 9*x /|
18*|1 - -------- + ---------------------|
   |           4                 4      |
   \    1 + 9*x           1 + 9*x       /
-----------------------------------------
                        4                
                 1 + 9*x

\frac{18 \left(\frac{12 x^{4} \left(\frac{72 x^{4}}{9 x^{4} + 1} - 5\right)}{9 x^{4} + 1} - \frac{36 x^{4}}{9 x^{4} + 1} + 1\right)}{9 x^{4} + 1}

Simplify

The graph

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Identical expressions

Derivative of y=x*arctg(3x^2)

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Piecewise:

The solution