Mister Exam

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Derivative of sin(30)*cos(x)

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sin(30)*cos(x)

$$\sin{\left(30 \right)} \cos{\left(x \right)}$$

d                 
--(sin(30)*cos(x))
dx

$$\frac{d}{d x} \sin{\left(30 \right)} \cos{\left(x \right)}$$

Transform

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. The derivative of cosine is negative sine:
  
  $\frac{d}{d x} \cos{\left(x \right)} = - \sin{\left(x \right)}$
So, the result is: $- \sin{\left(30 \right)} \sin{\left(x \right)}$

The answer is:

$- \sin{\left(30 \right)} \sin{\left(x \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-sin(30)*sin(x)

$$- \sin{\left(30 \right)} \sin{\left(x \right)}$$

Simplify

The second derivative [src]

-cos(x)*sin(30)

$$- \sin{\left(30 \right)} \cos{\left(x \right)}$$

Simplify

The third derivative [src]

sin(30)*sin(x)

$$\sin{\left(30 \right)} \sin{\left(x \right)}$$

Simplify

The graph