Mister Exam

Derivative of -4x^2cosx

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

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The solution

You have entered [src]
    2       
-4*x *cos(x)
4x2cos(x)- 4 x^{2} \cos{\left(x \right)}
The graph
02468-8-6-4-2-1010-500500
The first derivative [src]
                 2       
-8*x*cos(x) + 4*x *sin(x)
4x2sin(x)8xcos(x)4 x^{2} \sin{\left(x \right)} - 8 x \cos{\left(x \right)}
The second derivative [src]
  /             2                    \
4*\-2*cos(x) + x *cos(x) + 4*x*sin(x)/
4(x2cos(x)+4xsin(x)2cos(x))4 \left(x^{2} \cos{\left(x \right)} + 4 x \sin{\left(x \right)} - 2 \cos{\left(x \right)}\right)
The third derivative [src]
  /            2                    \
4*\6*sin(x) - x *sin(x) + 6*x*cos(x)/
4(x2sin(x)+6xcos(x)+6sin(x))4 \left(- x^{2} \sin{\left(x \right)} + 6 x \cos{\left(x \right)} + 6 \sin{\left(x \right)}\right)
The graph
Derivative of -4x^2cosx