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- Derivative of:
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Derivative of 1/tg(x)
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Derivative of (1-x^2)^2
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Derivative of y=x^3-8x^2+10x-4
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Derivative of x/(x^2+4)
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Identical expressions
- two *(- six *z*(cos(z)^ two +i*sin(z)*sinh(i*z))+z^ two *(three *sin(z)-i*sinh(i*z))*cos(z)+ six *i*cos(z)*sinh(i*z))
- 2 multiply by ( minus 6 multiply by z multiply by ( co sinus of e of (z) squared plus i multiply by sinus of (z) multiply by hyperbolic sinus of e of (i multiply by z)) plus z squared multiply by (3 multiply by sinus of (z) minus i multiply by hyperbolic sinus of e of (i multiply by z)) multiply by co sinus of e of (z) plus 6 multiply by i multiply by co sinus of e of (z) multiply by hyperbolic sinus of e of (i multiply by z))
- two multiply by ( minus six multiply by z multiply by ( co sinus of e of (z) to the power of two plus i multiply by sinus of (z) multiply by hyperbolic sinus of e of (i multiply by z)) plus z to the power of two multiply by (three multiply by sinus of (z) minus i multiply by hyperbolic sinus of e of (i multiply by z)) multiply by co sinus of e of (z) plus six multiply by i multiply by co sinus of e of (z) multiply by hyperbolic sinus of e of (i multiply by z))
- 2*(-6*z*(cos(z)2+i*sin(z)*sinh(i*z))+z2*(3*sin(z)-i*sinh(i*z))*cos(z)+6*i*cos(z)*sinh(i*z))
- 2*-6*z*cosz2+i*sinz*sinhi*z+z2*3*sinz-i*sinhi*z*cosz+6*i*cosz*sinhi*z
- 2*(-6*z*(cos(z)²+i*sin(z)*sinh(i*z))+z²*(3*sin(z)-i*sinh(i*z))*cos(z)+6*i*cos(z)*sinh(i*z))
- 2*(-6*z*(cos(z) to the power of 2+i*sin(z)*sinh(i*z))+z to the power of 2*(3*sin(z)-i*sinh(i*z))*cos(z)+6*i*cos(z)*sinh(i*z))
- 2(-6z(cos(z)^2+isin(z)sinh(iz))+z^2(3sin(z)-isinh(iz))cos(z)+6icos(z)sinh(iz))
- 2(-6z(cos(z)2+isin(z)sinh(iz))+z2(3sin(z)-isinh(iz))cos(z)+6icos(z)sinh(iz))
- 2-6zcosz2+isinzsinhiz+z23sinz-isinhizcosz+6icoszsinhiz
- 2-6zcosz^2+isinzsinhiz+z^23sinz-isinhizcosz+6icoszsinhiz
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Similar expressions
- 2*(-6*z*(cos(z)^2-i*sin(z)*sinh(i*z))+z^2*(3*sin(z)-i*sinh(i*z))*cos(z)+6*i*cos(z)*sinh(i*z))
- 2*(-6*z*(cos(z)^2+i*sin(z)*sinh(i*z))+z^2*(3*sin(z)-i*sinh(i*z))*cos(z)-6*i*cos(z)*sinh(i*z))
- 2*(6*z*(cos(z)^2+i*sin(z)*sinh(i*z))+z^2*(3*sin(z)-i*sinh(i*z))*cos(z)+6*i*cos(z)*sinh(i*z))
- 2*(-6*z*(cos(z)^2+i*sin(z)*sinh(i*z))+z^2*(3*sin(z)+i*sinh(i*z))*cos(z)+6*i*cos(z)*sinh(i*z))
- 2*(-6*z*(cos(z)^2+i*sin(z)*sinh(i*z))-z^2*(3*sin(z)-i*sinh(i*z))*cos(z)+6*i*cos(z)*sinh(i*z))
The derivative of the function/
2*(-6*z*(cos(z)^2+i*sin(z)*sinh(i*z))+z^2*(3*sin(z)-i*sinh(i*z))*cos(z)+6*i*cos(z)*sinh(i*z))
Derivative of 2*(-6*z*(cos(z)^2+i*sin(z)*sinh(i*z))+z^2*(3*sin(z)-i*sinh(i*z))*cos(z)+6*i*cos(z)*sinh(i*z))
The solution
You have entered
[src]
/ / 2 \ 2 \ 2*\- 6*z*\cos (z) + I*sin(z)*sinh(I*z)/ + z *(3*sin(z) - I*sinh(I*z))*cos(z) + 6*I*cos(z)*sinh(I*z)/
$$2 \left(z^{2} \cdot \left(3 \sin{\left(z \right)} - i \sinh{\left(i z \right)}\right) \cos{\left(z \right)} - 6 z \left(i \sin{\left(z \right)} \sinh{\left(i z \right)} + \cos^{2}{\left(z \right)}\right) + 6 i \cos{\left(z \right)} \sinh{\left(i z \right)}\right)$$
d / / / 2 \ 2 \\ --\2*\- 6*z*\cos (z) + I*sin(z)*sinh(I*z)/ + z *(3*sin(z) - I*sinh(I*z))*cos(z) + 6*I*cos(z)*sinh(I*z)// dz
$$\frac{d}{d z} 2 \left(z^{2} \cdot \left(3 \sin{\left(z \right)} - i \sinh{\left(i z \right)}\right) \cos{\left(z \right)} - 6 z \left(i \sin{\left(z \right)} \sinh{\left(i z \right)} + \cos^{2}{\left(z \right)}\right) + 6 i \cos{\left(z \right)} \sinh{\left(i z \right)}\right)$$
The first derivative
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2 2 2 2 - 24*cos (z) - 12*z*(-3*cos(z)*sin(z) + I*cos(z)*sinh(I*z)) + 8*z *cos (z) - 24*I*sin(z)*sinh(I*z) - 2*z *(3*sin(z) - I*sinh(I*z))*sin(z) + 4*z*(3*sin(z) - I*sinh(I*z))*cos(z)
$$- 2 z^{2} \cdot \left(3 \sin{\left(z \right)} - i \sinh{\left(i z \right)}\right) \sin{\left(z \right)} + 8 z^{2} \cos^{2}{\left(z \right)} - 12 z \left(- 3 \sin{\left(z \right)} \cos{\left(z \right)} + i \cos{\left(z \right)} \sinh{\left(i z \right)}\right) + 4 z \left(3 \sin{\left(z \right)} - i \sinh{\left(i z \right)}\right) \cos{\left(z \right)} - 24 i \sin{\left(z \right)} \sinh{\left(i z \right)} - 24 \cos^{2}{\left(z \right)}$$
The second derivative
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/ / 2 2 \ 2 2 2 \ 2*\2*(3*sin(z) - I*sinh(I*z))*cos(z) + 6*z*\- 3*sin (z) + 4*cos (z) + I*sin(z)*sinh(I*z)/ + 16*z*cos (z) + 54*cos(z)*sin(z) - z *(3*sin(z) - I*sinh(I*z))*cos(z) - 18*I*cos(z)*sinh(I*z) - 12*z *cos(z)*sin(z) - 4*z*(3*sin(z) - I*sinh(I*z))*sin(z)/
$$2 \left(- z^{2} \cdot \left(3 \sin{\left(z \right)} - i \sinh{\left(i z \right)}\right) \cos{\left(z \right)} - 12 z^{2} \sin{\left(z \right)} \cos{\left(z \right)} - 4 z \left(3 \sin{\left(z \right)} - i \sinh{\left(i z \right)}\right) \sin{\left(z \right)} + 6 z \left(- 3 \sin^{2}{\left(z \right)} + i \sin{\left(z \right)} \sinh{\left(i z \right)} + 4 \cos^{2}{\left(z \right)}\right) + 16 z \cos^{2}{\left(z \right)} + 2 \cdot \left(3 \sin{\left(z \right)} - i \sinh{\left(i z \right)}\right) \cos{\left(z \right)} + 54 \sin{\left(z \right)} \cos{\left(z \right)} - 18 i \cos{\left(z \right)} \sinh{\left(i z \right)}\right)$$
The third derivative
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/ 2 2 2 2 2 2 2 \ 2*\- 72*sin (z) + 120*cos (z) - 16*z *cos (z) - 6*(3*sin(z) - I*sinh(I*z))*sin(z) + 12*z *sin (z) + z *(3*sin(z) - I*sinh(I*z))*sin(z) - 72*z*cos(z)*sin(z) - 6*z*(3*sin(z) - I*sinh(I*z))*cos(z) - 6*z*(15*sin(z) - I*sinh(I*z))*cos(z) + 24*I*sin(z)*sinh(I*z)/
$$2 \left(z^{2} \cdot \left(3 \sin{\left(z \right)} - i \sinh{\left(i z \right)}\right) \sin{\left(z \right)} + 12 z^{2} \sin^{2}{\left(z \right)} - 16 z^{2} \cos^{2}{\left(z \right)} - 6 z \left(3 \sin{\left(z \right)} - i \sinh{\left(i z \right)}\right) \cos{\left(z \right)} - 6 z \left(15 \sin{\left(z \right)} - i \sinh{\left(i z \right)}\right) \cos{\left(z \right)} - 72 z \sin{\left(z \right)} \cos{\left(z \right)} - 6 \cdot \left(3 \sin{\left(z \right)} - i \sinh{\left(i z \right)}\right) \sin{\left(z \right)} - 72 \sin^{2}{\left(z \right)} + 24 i \sin{\left(z \right)} \sinh{\left(i z \right)} + 120 \cos^{2}{\left(z \right)}\right)$$
The graph