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Derivative of:
Derivative of (x^5+1)
Derivative of x^sqrt(x)
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Derivative of ex^2
Identical expressions
cos(x)+ two *x- three
co sinus of e of (x) plus 2 multiply by x minus 3
co sinus of e of (x) plus two multiply by x minus three
cos(x)+2x-3
cosx+2x-3
Similar expressions
cos(x)-2*x-3
cos(x)+2*x+3
cosx+2*x-3

The derivative of the function/ cos(x)+2*x-3

Derivative of cos(x)+2*x-3

The solution

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cos(x) + 2*x - 3

$$\left(2 x + \cos{\left(x \right)}\right) - 3$$

cos(x) + 2*x - 3

Detail solution

Differentiate $\left(2 x + \cos{\left(x \right)}\right) - 3$ term by term:
1. Differentiate $2 x + \cos{\left(x \right)}$ term by term:
  1. The derivative of cosine is negative sine:
    
    $\frac{d}{d x} \cos{\left(x \right)} = - \sin{\left(x \right)}$
  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: $2 - \sin{\left(x \right)}$
2. The derivative of the constant $-3$ is zero.
The result is: $2 - \sin{\left(x \right)}$

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

2 - sin(x)

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

Simplify

The second derivative [src]

-cos(x)

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

Simplify

The third derivative [src]

sin(x)

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

Simplify

The graph

Derivative of cos(x)+2*x-3