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3x⁵
The derivative of the function/ 3x⁵

Derivative of 3x⁵

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   5
3*x
$$3 x^{5}$$ 
3*x^5
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: goes to

    So, the result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    4
15*x
$$15 x^{4}$$
Simplify
The second derivative [src] 
    3
60*x
$$60 x^{3}$$
Simplify
The third derivative [src] 
     2
180*x
$$180 x^{2}$$
Simplify
The graph
Derivative of 3x⁵
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