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

1 Answer
Apr 25, 2016

# 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#