What is the derivative of x to the fourth power -3x cubed plus 5x2 divided by x squared?

Answer 1

If you mean:

f(x) = x4 - 3x3 + 5x2 / x2

then:

f(x) = x4 - 3x3 + 5

∴ f'(x) = 4x3 - 9x2

If you mean:

f(x) = (x4 - 3x3 + 5x2) / x2

then:

f(x) = x2 - 3x + 5

∴ f'(x) = 2x - 3