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Derivative of:
Derivative of e^(2-x)
Derivative of sqrt4
Derivative of f(x)=3
Derivative of ln(x/2)
Limit of the function:
7/x^2
Identical expressions
seven /x^ two
7 divide by x squared
seven divide by x to the power of two
7/x2
7/x²
7/x to the power of 2
7 divide by x^2
Similar expressions
y=(x^2+7)/(x^2-7)

The derivative of the function/ 7/x^2

Derivative of 7/x^2

The solution

You have entered [src]

7 
--
 2
x

$$\frac{7}{x^{2}}$$

7/x^2

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Let $u = x^{2}$ .
2. Apply the power rule: $\frac{1}{u}$ goes to $- \frac{1}{u^{2}}$
3. Then, apply the chain rule. Multiply by $\frac{d}{d x} x^{2}$ :
  1. Apply the power rule: $x^{2}$ goes to $2 x$
  The result of the chain rule is:
  
  $- \frac{2}{x^{3}}$
So, the result is: $- \frac{14}{x^{3}}$

The answer is:

$- \frac{14}{x^{3}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-14 
----
  3 
 x

$$- \frac{14}{x^{3}}$$

Simplify

The second derivative [src]

42
--
 4
x

$$\frac{42}{x^{4}}$$

Simplify

The third derivative [src]

-168 
-----
   5 
  x

$$- \frac{168}{x^{5}}$$

Simplify

The graph

Derivative of 7/x^2