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sqrt(x)*(-2)-1/x

How to use it?
Derivative of:
Derivative of cos(x/3)
Derivative of √x
Derivative of xcos(x)
Derivative of sqrt(x)*(-2)-1/x
Identical expressions
sqrt(x)*(- two)- one /x
square root of (x) multiply by ( minus 2) minus 1 divide by x
square root of (x) multiply by ( minus two) minus one divide by x
√(x)*(-2)-1/x
sqrt(x)(-2)-1/x
sqrtx-2-1/x
sqrt(x)*(-2)-1 divide by x
Similar expressions
sqrt(x)*(2)-1/x
sqrt(x)*(-2)+1/x

The derivative of the function/ sqrt(x)*(-2)-1/x

Derivative of sqrt(x)*(-2)-1/x

The solution

You have entered [src]

  ___        1
\/ x *(-2) - -
             x

$$\left(-2\right) \sqrt{x} - \frac{1}{x}$$

sqrt(x)*(-2) - 1/x

Detail solution

Differentiate $\left(-2\right) \sqrt{x} - \frac{1}{x}$ term by term:
1. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $\sqrt{x}$ goes to $\frac{1}{2 \sqrt{x}}$
  So, the result is: $- \frac{1}{\sqrt{x}}$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $\frac{1}{x}$ goes to $- \frac{1}{x^{2}}$
  So, the result is: $\frac{1}{x^{2}}$
The result is: $\frac{1}{x^{2}} - \frac{1}{\sqrt{x}}$

The answer is:

$\frac{1}{x^{2}} - \frac{1}{\sqrt{x}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

1      1  
-- - -----
 2     ___
x    \/ x

$$\frac{1}{x^{2}} - \frac{1}{\sqrt{x}}$$

Simplify

The second derivative [src]

  1      2 
------ - --
   3/2    3
2*x      x

$$- \frac{2}{x^{3}} + \frac{1}{2 x^{\frac{3}{2}}}$$

Simplify

The third derivative [src]

  /2      1   \
3*|-- - ------|
  | 4      5/2|
  \x    4*x   /

$$3 \left(\frac{2}{x^{4}} - \frac{1}{4 x^{\frac{5}{2}}}\right)$$

Simplify

The graph

Derivative of sqrt(x)*(-2)-1/x