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s(t)=3t^3+t
The derivative of the function/ s(t)=3t^3+t

Derivative of s(t)=3t^3+t

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   3    
3*t  + t
$$3 t^{3} + t$$ 
d /   3    \
--\3*t  + t/
dt
$$\frac{d}{d t} \left(3 t^{3} + t\right)$$
Transform
Detail solution

  1. Differentiate term by term:

    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:

    2. Apply the power rule: goes to

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
       2
1 + 9*t
$$9 t^{2} + 1$$
Simplify
The second derivative [src] 
18*t
$$18 t$$
Simplify
The third derivative [src] 
18
$$18$$
Simplify
The graph
Derivative of s(t)=3t^3+t
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