If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate
.
We have

Expand the numerator using the binomial theorem, then simplify and compute the limit.

In general, the derivative of a power function
is
. (This is the aptly-named "power rule" for differentiation.)
Answer:
7
Step-by-step explanation:
as you can see, there is a pattern in the numbers. first, you add the term with 3, then subtract the following with 2. therefore, when we get to the sixth term 9, we will subtract 2 from it, thus getting 7. then, we add 7 and 3, to get the next term, which is 10, and so on and so forth.
Answer:
82°
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use FOIL method
(2 - 7x)(-x + 2) = 2*(-x) + 2*2 + (-7x)*(-x) + (-7x)*2
= -2x + 4 + 7x² - 14x {Combine like terms}
= 7x² - 14x - 2x + 4
= 7x² - 16x + 4
x²(2-7x)(-x + 2)= x² (7x² - 16x + 4)
= x²*7x² - 16x * x² + 4x²
