Question

How do you find the derivative of `x^4/4 -x^3/2 - 9x^2 +3x +11`?

Answer 1

`x^3 - 3/2 x^2 - 18x +3`

Explanation:

Rewrite the first 2 terms in the form `ax^n" before differentiating using the"color(blue)" power rule "`

If f(x) =`ax^n rArr f'(x) = nax^(n-1)`

and `d/dx("constant") = 0`

`d/dx ( 1/4 x^4 - 1/2 x^3 - 9x^2 + 3x +11)`

`= 4xx1/4 x^3 - 3xx1/2 x^2 - 2xx9 x^1 +1xx 3x^0 + 0`

`= x^3 - 3/2 x^2 - 18x + 3`