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Derivative of:
Derivative of x^2*sin(2*x-3)
Derivative of (x+1)^2*(x-5)-6
Derivative of log(11*x)
Derivative of log(t-1)
Identical expressions
y=((pi/ four)^(three / two))×sin(pi/ four)^ two ×cos(pi/ four)^ two
y equally (( Pi divide by 4) to the power of (3 divide by 2))× sinus of ( Pi divide by 4) squared × co sinus of e of ( Pi divide by 4) squared
y equally (( Pi divide by four) to the power of (three divide by two))× sinus of ( Pi divide by four) to the power of two × co sinus of e of ( Pi divide by four) to the power of two
y=((pi/4)(3/2))×sin(pi/4)2×cos(pi/4)2
y=pi/43/2×sinpi/42×cospi/42
y=((pi/4)^(3/2))×sin(pi/4)²×cos(pi/4)²
y=((pi/4) to the power of (3/2))×sin(pi/4) to the power of 2×cos(pi/4) to the power of 2
y=pi/4^3/2×sinpi/4^2×cospi/4^2
y=((pi divide by 4)^(3 divide by 2))×sin(pi divide by 4)^2×cos(pi divide by 4)^2

Derivative of y=((pi/4)^(3/2))×sin(pi/4)^2×cos(pi/4)^2

You have entered [src]

    3/2                  
/pi\       2/pi\    2/pi\
|--|   *sin |--|*cos |--|
\4 /        \4 /     \4 /

$$\left(\frac{\pi}{4}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{\pi}{4} \right)} \cos^{2}{\left(\frac{\pi}{4} \right)}$$

((pi/4)^(3/2)*sin(pi/4)^2)*cos(pi/4)^2

Detail solution

The derivative of the constant $\left(\frac{\pi}{4}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{\pi}{4} \right)} \cos^{2}{\left(\frac{\pi}{4} \right)}$ is zero.

The answer is:

$0$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

$$0$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph