Derivative of cos1/3x

You have entered [src]

cos(1)  
------*x
  3

$$x \frac{\cos{\left(1 \right)}}{3}$$

(cos(1)/3)*x

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Apply the power rule: $x$ goes to $1$
So, the result is: $\frac{\cos{\left(1 \right)}}{3}$
Now simplify:

$\frac{\cos{\left(1 \right)}}{3}$

The answer is:

$\frac{\cos{\left(1 \right)}}{3}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

cos(1)
------
  3

$$\frac{\cos{\left(1 \right)}}{3}$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify