Mister Exam

Lang:

The derivative of the function/ 3sinx/3

Derivative of 3sinx/3

The solution

You have entered [src]

3*sin(x)
--------
   3

$$\frac{3 \sin{\left(x \right)}}{3}$$

(3*sin(x))/3

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. The derivative of a constant times a function is the constant times the derivative of the function.
  1. The derivative of sine is cosine:
    
    $\frac{d}{d x} \sin{\left(x \right)} = \cos{\left(x \right)}$
  So, the result is: $3 \cos{\left(x \right)}$
So, the result is: $\cos{\left(x \right)}$

The answer is:

$\cos{\left(x \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

cos(x)

$$\cos{\left(x \right)}$$

Simplify

The second derivative [src]

-sin(x)

$$- \sin{\left(x \right)}$$

Simplify

The third derivative [src]

-cos(x)

$$- \cos{\left(x \right)}$$

Simplify