Question

How to find the derivative of this formula?

Answer 1

\[(3x ^{3}/7)-(4/5x ^{3})\]

Answer 2

do you now how to find the derivative of \(x^3 \) ?

Answer 3

@phi would it be\[3x ^{2}\]

Answer 4

and if have a constant "out front" e.g. 3/7, you get
\[ \frac{3}{7}\cdot 3 x^2 \]
or
\[ \frac{9}{7} x^2 \]

Answer 5

now do the same thing to the other term

or
you could have factored out x^3
\[ \left(\frac{3}{7}- \frac{4}{5} \right)x^3 \]
and that mess is still just some fraction i.e. constant
and the derivative would be that constant times 3 x^2

Answer 6

unless the 2nd term is
\[ -\frac{4}{5x^3} \] ?
in which case, write it as
\[ -\frac{4}{5}x^{-3} \]