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(x²-3)⁵
The derivative of the function/ (x²-3)⁵

Derivative of (x²-3)⁵

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
        5
/ 2    \ 
\x  - 3/
$$\left(x^{2} - 3\right)^{5}$$ 
  /        5\
d |/ 2    \ |
--\\x  - 3/ /
dx
$$\frac{d}{d x} \left(x^{2} - 3\right)^{5}$$
Transform
Detail solution

  1. Let .

  2. Apply the power rule: goes to

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

    1. Differentiate term by term:

      1. Apply the power rule: goes to

      2. The derivative of the constant is zero.

      The result is:

    The result of the chain rule is:

  4. Now simplify:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
             4
     / 2    \ 
10*x*\x  - 3/
$$10 x \left(x^{2} - 3\right)^{4}$$
Simplify
The second derivative [src] 
            3            
   /      2\  /        2\
10*\-3 + x / *\-3 + 9*x /
$$10 \left(x^{2} - 3\right)^{3} \cdot \left(9 x^{2} - 3\right)$$
Simplify
The third derivative [src] 
               2            
      /      2\  /        2\
240*x*\-3 + x / *\-3 + 3*x /
$$240 x \left(x^{2} - 3\right)^{2} \cdot \left(3 x^{2} - 3\right)$$
Simplify
The graph
Derivative of (x²-3)⁵
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