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y=x^5-4x^3+2x^2-7x
The derivative of the function/ y=x^5-4x^3+2x^2-7x

Derivative of y=x^5-4x^3+2x^2-7x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 5      3      2      
x  - 4*x  + 2*x  - 7*x
$$x^{5} - 4 x^{3} + 2 x^{2} - 7 x$$ 
d / 5      3      2      \
--\x  - 4*x  + 2*x  - 7*x/
dx
$$\frac{d}{d x} \left(x^{5} - 4 x^{3} + 2 x^{2} - 7 x\right)$$
Transform
Detail solution

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. The derivative of a constant times a function is the constant times the derivative of the function.

        1. Apply the power rule: goes to

        So, the result is:

      So, the result is:

    3. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    4. The derivative of a constant times a function is the constant times the derivative of the function.

      1. The derivative of a constant times a function is the constant times the derivative of the function.

        1. Apply the power rule: goes to

        So, the result is:

      So, the result is:

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
         2            4
-7 - 12*x  + 4*x + 5*x
$$5 x^{4} - 12 x^{2} + 4 x - 7$$
Simplify
The second derivative [src] 
  /             3\
4*\1 - 6*x + 5*x /
$$4 \cdot \left(5 x^{3} - 6 x + 1\right)$$
Simplify
The third derivative [src] 
   /        2\
12*\-2 + 5*x /
$$12 \cdot \left(5 x^{2} - 2\right)$$
Simplify
The graph
Derivative of y=x^5-4x^3+2x^2-7x
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