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Derivative of:
Derivative of x^2+cos(x)
Derivative of (x+1)^2*(x-5)-6
Derivative of log(11*x)
Derivative of e^x-2
Identical expressions
x^ two +cos(x)
x squared plus co sinus of e of (x)
x to the power of two plus co sinus of e of (x)
x2+cos(x)
x2+cosx
x²+cos(x)
x to the power of 2+cos(x)
x^2+cosx
Similar expressions
x^2-cos(x)
x^2+cosx

The derivative of the function/ x^2+cos(x)

Derivative of x^2+cos(x)

The solution

You have entered [src]

 2         
x  + cos(x)

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

x^2 + cos(x)

Detail solution

Differentiate $x^{2} + \cos{\left(x \right)}$ term by term:
1. Apply the power rule: $x^{2}$ goes to $2 x$
2. The derivative of cosine is negative sine:
  
  $\frac{d}{d x} \cos{\left(x \right)} = - \sin{\left(x \right)}$
The result is: $2 x - \sin{\left(x \right)}$

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-sin(x) + 2*x

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

Simplify

The second derivative [src]

2 - cos(x)

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

Simplify

The third derivative [src]

sin(x)

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

Simplify

The graph

Derivative of x^2+cos(x)