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3x^5
The derivative of the function/ 3x^5

Derivative of 3x^5

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   5
3*x
3x53 x^{5} 
d /   5\
--\3*x /
dx
ddx3x5\frac{d}{d x} 3 x^{5}
Transform
Detail solution

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

    1. Apply the power rule: x5x^{5} goes to 5x45 x^{4}

    So, the result is: 15x415 x^{4}

The answer is:

15x415 x^{4}

The graph
02468-8-6-4-2-1010-500000500000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    4
15*x
15x415 x^{4}
Simplify
The second derivative [src] 
    3
60*x
60x360 x^{3}
Simplify
The third derivative [src] 
     2
180*x
180x2180 x^{2}
Simplify
The graph
Derivative of 3x^5
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