Mister Exam

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The derivative of the function/ sin(x)+2*x

Derivative of sin(x)+2*x

The solution

You have entered [src]

sin(x) + 2*x

$$2 x + \sin{\left(x \right)}$$

sin(x) + 2*x

Detail solution

Differentiate $2 x + \sin{\left(x \right)}$ term by term:
1. The derivative of sine is cosine:
  
  $\frac{d}{d x} \sin{\left(x \right)} = \cos{\left(x \right)}$
2. 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: $2$
The result is: $\cos{\left(x \right)} + 2$

The answer is:

$\cos{\left(x \right)} + 2$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

2 + cos(x)

$$\cos{\left(x \right)} + 2$$

Simplify

The second derivative [src]

-sin(x)

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

Simplify

The third derivative [src]

-cos(x)

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

Simplify

The graph

Derivative of sin(x)+2*x