Question
Evaluate the derivative
Solution
12x2−6
Evaluate
dx2d2(x4−3x2+2x)
To find the higher-order derivative,take the derivative multiple times
dxd(dxd(x4−3x2+2x))
Calculate
More Steps

Evaluate
dxd(x4−3x2+2x)
Use differentiation rule dxd(f(x)±g(x))=dxd(f(x))±dxd(g(x))
dxd(x4)−dxd(3x2)+dxd(2x)
Use dxdxn=nxn−1 to find derivative
4x3−dxd(3x2)+dxd(2x)
Calculate
More Steps

Calculate
dxd(3x2)
Use differentiation rule dxd(cf(x))=c×dxd(f(x))
3×dxd(x2)
Use dxdxn=nxn−1 to find derivative
3×2x
Multiply the terms
6x
4x3−6x+dxd(2x)
Calculate
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Calculate
dxd(2x)
Use differentiation rule dxd(cf(x))=c×dxd(f(x))
2×dxd(x)
Use dxdxn=nxn−1 to find derivative
2×1
Any expression multiplied by 1 remains the same
2
4x3−6x+2
dxd(4x3−6x+2)
Use differentiation rule dxd(f(x)±g(x))=dxd(f(x))±dxd(g(x))
dxd(4x3)−dxd(6x)+dxd(2)
Calculate
More Steps

Calculate
dxd(4x3)
Use differentiation rule dxd(cf(x))=c×dxd(f(x))
4×dxd(x3)
Use dxdxn=nxn−1 to find derivative
4×3x2
Multiply the terms
12x2
12x2−dxd(6x)+dxd(2)
Calculate
More Steps

Calculate
dxd(6x)
Use differentiation rule dxd(cf(x))=c×dxd(f(x))
6×dxd(x)
Use dxdxn=nxn−1 to find derivative
6×1
Any expression multiplied by 1 remains the same
6
12x2−6+dxd(2)
Use dxd(c)=0 to find derivative
12x2−6+0
Solution
12x2−6
Show Solution