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Derivative of:
Derivative of 6
Derivative of 8^x
Derivative of x^7*e^x
Derivative of x/3+3/x
Differential equation:
y''
Identical expressions
y''= two *x^(one / three)+ six *x^- two + three *x^ three
y two strokes of the second (2nd) order equally 2 multiply by x to the power of (1 divide by 3) plus 6 multiply by x to the power of minus 2 plus 3 multiply by x cubed
y two strokes of the second (2nd) order equally two multiply by x to the power of (one divide by three) plus six multiply by x to the power of minus two plus three multiply by x to the power of three
y''=2*x(1/3)+6*x-2+3*x3
y''=2*x1/3+6*x-2+3*x3
y''=2*x^(1/3)+6*x^-2+3*x³
y''=2*x to the power of (1/3)+6*x to the power of -2+3*x to the power of 3
y''=2x^(1/3)+6x^-2+3x^3
y''=2x(1/3)+6x-2+3x3
y''=2x1/3+6x-2+3x3
y''=2x^1/3+6x^-2+3x^3
y''=2*x^(1 divide by 3)+6*x^-2+3*x^3
Similar expressions
y''=2*x^(1/3)+6*x^+2+3*x^3
y''=2*x^(1/3)-6*x^-2+3*x^3
y''=2*x^(1/3)+6*x^-2-3*x^3

Derivative of y''=2x^(1/3)+6x^-2+3*x^3

You have entered [src]

  3 ___   6       3
2*\/ x  + -- + 3*x 
           2       
          x

$$3 x^{3} + \left(2 \sqrt[3]{x} + \frac{6}{x^{2}}\right)$$

2*x^(1/3) + 6/x^2 + 3*x^3

Detail solution

The answer is:

$9 x^{2} - \frac{12}{x^{3}} + \frac{2}{3 x^{\frac{2}{3}}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

  12      2     2   
- -- + 9*x  + ------
   3             2/3
  x           3*x

$$9 x^{2} - \frac{12}{x^{3}} + \frac{2}{3 x^{\frac{2}{3}}}$$

Simplify

The second derivative [src]

  /      18     2   \
2*|9*x + -- - ------|
  |       4      5/3|
  \      x    9*x   /

$$2 \left(9 x + \frac{18}{x^{4}} - \frac{2}{9 x^{\frac{5}{3}}}\right)$$

Simplify

The third derivative [src]

  /    72      10  \
2*|9 - -- + -------|
  |     5       8/3|
  \    x    27*x   /

$$2 \left(9 - \frac{72}{x^{5}} + \frac{10}{27 x^{\frac{8}{3}}}\right)$$

Simplify

Derivative of y''=2*x^(1/3)+6*x^-2+3*x^3