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The derivative of the function/ sin^2(pi/4)x

Derivative of sin^2(pi/4)x

Function f() - derivative -N order at the point
v

The graph:

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The solution

You have entered [src] 
   2/pi\  
sin |--|*x
    \4 /
xsin⁡2(π4)x \sin^{2}{\left(\frac{\pi}{4} \right)} 
sin(pi/4)^2*x
Detail solution

  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Apply the power rule: xx goes to 11

    So, the result is: sin⁡2(π4)\sin^{2}{\left(\frac{\pi}{4} \right)}

  2. Now simplify:

    12\frac{1}{2}

The answer is:

12\frac{1}{2}

The graph
02468-8-6-4-2-1010-1010
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   2/pi\
sin |--|
    \4 /
sin⁡2(π4)\sin^{2}{\left(\frac{\pi}{4} \right)}
Simplify
The second derivative [src] 
0
00
Simplify
The third derivative [src] 
0
00
Simplify
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