y=3x^2 - (the cubed root of x^2)

[michaellundin]

I need help with the following problem :

y=3x^2 - (the cubed root of x^2)

where x is given as 9

What is the slope?

I get as far as y = 3(81 - the cubed root of 3) butdon't know where to go from there...?

I remember that in the formula,
y = mx + b
m is supposed to be the slope but I dont know how to find it? PLease help.

 

[Denis]

A real weirdo; perhaps this'll do it:
y = 3x^2 - (x^2)^(1/3)
y = 3*9*x - x^(2/3)
y = 27x - 9^(2/3)

 

[Deleted member 4993]

I need help with the following problem :

y=3x^2 - (the cubed root of x^2)

where x is given as 9

What is the slope?

I get as far as y = 3(81 - the cubed root of 3) butdon't know where to go from there...?

I remember that in the formula,
y = mx + b
m is supposed to be the slope but I dont know how to find it? PLease help.

\(\displaystyle f(x)\ = \ 3x^2 \ - \ x^{\frac{2}{3}}\)

\(\displaystyle \frac{df}{dx} \ = \ 6x \ - \ \frac{2}{3}x^{-\frac{1}{3}}\)