applied calculus problem

[bluebird]

I need help solving this. The instructor asked us to expand the binomial
(x + delta x) raised to the power of 9.

My book has an explanation for differentiating but not what the prof wants.

Help! Thanks!

 

[wjm11]

expand the binomial (x + delta x) raised to the power of 9.

You could use Pascal's triangle.

"Pascal's triangle determines the coefficients which arise in binomial expansions."

http://www.ask.com/wiki/Pascal's_triangle

 

[bluebird]

yep, I will. But, I am stumped by the "delta x", meaning the change in x.

 

[soroban]

Hello, bluebird!

If \(\displaystyle (x + \Delta x)^9\) bothers you, expand \(\displaystyle (a + b)^9\)

. . then substitute \(\displaystyle x\) for \(\displaystyle a\) and \(\displaystyle \Delta x\) for \(\displaystyle b.\)