d/dx (x^n) = nx^(n-1) Take the power and multiply it by the expression and then you reduce the power by 1.
The Power rule tells us how to differentiate any expressions with x raised to a power.
Ah! I'm sort of getting it now!
Delivering the game winning spike, the West Caldwell Tech Eagles won their qualifying game to advance to the next round! He didn't know it at the time, but senior libero Austin had been approaching possibly the biggest test of his life considering the fact that the test's results would determine if he could play or not in the next game.
Power Rule Difficulties!?
d/dx [3x^7] = 3 d/dx (x^7) = 3 (7x^6) = 21x^6
And with that being said, Austin came into his coach's class for extra help before the big test the day after.
Now having basic knowledge on what the power rule is, Austin and coach B now dive into harder material found deeper within "the power rule."
Final Scores! Austin's Greatest Accomplishment!
Congratulations, Austin! You are the 2nd best scorer in today's test! Behind Stefan Damez of course! Now enjoy your day!
After figuring out how to use the power rule to tackle harder problems such as those dealing with polynomials, Austin now just needs a bit more studying in order to be prepared to take the test which will determine his volleyball playing fate!
The Power rule, along with the more basic differentiation rules, allows us to differentiate any polynomial.
So this is the polynomial rule! Can you tell me what that is again?
Finally having grasped the concept of finding the derivatize of polynomials and differentiating fractional powers and radicals, Austin was prepared to take on the test.
The Power rule also allows us to differentiate expressions like the square root of x or x^2/3.
I see.. Then rewrite the radical to get my answer...
Having passed his test, senior libero Austin played in the next and last game of his volleyball career! Eagle Pride CAW CAW!