Question

Differentiate. (v^3-2v(v^.5))/v
the answer is (2v-1)/v^5 but i need help with the steps

Answer 1

(v^3-2v(v^.5))
simplifies to:
v^3-2v^1.5
dividing by v gives:
v^2-2v^0.5
Then you differentiate the parts of the sum independently, and add them back together:
2v-v^(-0.5)
or
2v-1/sqrt(v)

You forgot the "." before the "5" exponent you put in the denominator.

Answer 2

i have to use the quotient rule