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Derivative of:
Derivative of -2/x
Derivative of 4/x
Derivative of 9/x
Derivative of x*acos(x)
Integral of d{x}:
sen^2(x)
Identical expressions
sen^ two (x)
sen squared (x)
sen to the power of two (x)
sen2(x)
sen2x
sen²(x)
sen to the power of 2(x)
sen^2x
Similar expressions
sen^2x
(cos^2x)/(1-sen^2x)

The derivative of the function/ sen^2(x)

Derivative of sen^2(x)

The solution

You have entered [src]

   2   
sin (x)

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

sin(x)^2

Detail solution

Let $u = \sin{\left(x \right)}$ .
Apply the power rule: $u^{2}$ goes to $2 u$
Then, apply the chain rule. Multiply by $\frac{d}{d x} \sin{\left(x \right)}$ :
1. The derivative of sine is cosine:
  
  $\frac{d}{d x} \sin{\left(x \right)} = \cos{\left(x \right)}$
The result of the chain rule is:

$2 \sin{\left(x \right)} \cos{\left(x \right)}$
Now simplify:

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

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

2*cos(x)*sin(x)

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

Simplify

The second derivative [src]

  /   2         2   \
2*\cos (x) - sin (x)/

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

Simplify

The third derivative [src]

-8*cos(x)*sin(x)

$$- 8 \sin{\left(x \right)} \cos{\left(x \right)}$$

Simplify

The graph

Derivative of sen^2(x)