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

Derivative of y=x+5x^5

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
       5
x + 5*x
$$5 x^{5} + x$$ 
d /       5\
--\x + 5*x /
dx
$$\frac{d}{d x} \left(5 x^{5} + x\right)$$
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. Apply the power rule: goes to

      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] 
        4
1 + 25*x
$$25 x^{4} + 1$$
Simplify
The second derivative [src] 
     3
100*x
$$100 x^{3}$$
Simplify
3-th derivative [src] 
     2
300*x
$$300 x^{2}$$
Simplify
The third derivative [src] 
     2
300*x
$$300 x^{2}$$
Simplify
The graph
Derivative of y=x+5x^5
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