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

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

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

The graph:

from to

Piecewise:

The solution

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

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. Apply the power rule: goes to

    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:

    The result is:

  2. Now simplify:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
     3      4      6
- 4*x  + 5*x  + 7*x
$$7 x^{6} + 5 x^{4} - 4 x^{3}$$
Simplify
The second derivative [src] 
   2 /                3\
2*x *\-6 + 10*x + 21*x /
$$2 x^{2} \cdot \left(21 x^{3} + 10 x - 6\right)$$
Simplify
The third derivative [src] 
    /                3\
6*x*\-4 + 10*x + 35*x /
$$6 x \left(35 x^{3} + 10 x - 4\right)$$
Simplify
The graph
Derivative of y=x^7+x^5-x^4
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