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:
x=3
Step-by-step explanation:
0=(x+2)^2-25
+25 +25
25=(x+2)^2
Square root both sides to get:
5=x+2
-2 -2
3=x
Your 3rd option, or (-6,-3,0,3,6) would be the answer
Answer:
13 cars per hour
Step-by-step explanation:
She can vacuum 104 cars in 8 hours, so divide 104 by 8, 104/8, to get 13. So she can vacuum 13 cars in 1 hour.
(8j3 - 5j2 - 5) - (6j3 - 12j2 + 8j - 7) =
(8j3 - 6j3) - (5j2 - 12j2) - 8j - (5-7) =
2j3 - (-7j2) - 8j - (-2) =
2j3 + 7j2 - 8j + 2
The correct answer is D. 2j3 + 7j2 - 8j + 2