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Derivative of:
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Graphing y =:
sinx+x^2
Integral of d{x}:
sinx+x^2
Identical expressions
y=sinx+x^ two
y equally sinus of x plus x squared
y equally sinus of x plus x to the power of two
y=sinx+x2
y=sinx+x²
y=sinx+x to the power of 2
Similar expressions
y=sinx-x^2

The derivative of the function/ y=sinx+x^2

Derivative of y=sinx+x^2

The solution

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          2
sin(x) + x

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

d /          2\
--\sin(x) + x /
dx

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

Transform

Detail solution

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

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

2*x + cos(x)

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

Simplify

The second derivative [src]

2 - sin(x)

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

Simplify

The third derivative [src]

-cos(x)

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

Simplify

The graph

Derivative of y=sinx+x^2