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6/5^6sqrt(x)^5

Derivative of 6/5^6sqrt(x)^5

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
          5
   6   ___ 
6/5 *\/ x  
$$\left(\frac{6}{5}\right)^{6} \left(\sqrt{x}\right)^{5}$$
  /          5\
d |   6   ___ |
--\6/5 *\/ x  /
dx             
$$\frac{d}{d x} \left(\frac{6}{5}\right)^{6} \left(\sqrt{x}\right)^{5}$$
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Let .

    2. Apply the power rule: goes to

    3. Then, apply the chain rule. Multiply by :

      1. Apply the power rule: goes to

      The result of the chain rule is:

    So, the result is:


The answer is:

The graph
The first derivative [src]
       3/2
23328*x   
----------
   3125   
$$\frac{23328 x^{\frac{3}{2}}}{3125}$$
The second derivative [src]
        ___
34992*\/ x 
-----------
    3125   
$$\frac{34992 \sqrt{x}}{3125}$$
The third derivative [src]
  17496   
----------
       ___
3125*\/ x 
$$\frac{17496}{3125 \sqrt{x}}$$
The graph
Derivative of 6/5^6sqrt(x)^5