Answer:
the answer is 9.66 probably
Step-by-step explanation:
180 degrees means that the new x=-x and the new y=-y so
x=3 and y=-5 is orignal
new is -3 and 5
so new oint is
A(-3,5)
If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate
.
We have
![\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%20x%5E4%20%3D%20%5Cdisplaystyle%20%5Clim_%7Bh%5Cto0%7D%20%5Cfrac%7B%28x%2Bh%29%5E4%20-%20x%5E4%7Dh)
Expand the numerator using the binomial theorem, then simplify and compute the limit.
![\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%20x%5E4%20%3D%20%5Cdisplaystyle%20%5Clim_%7Bh%5Cto0%7D%20%5Cfrac%7B%28x%5E4%2B4hx%5E3%20%2B%206h%5E2x%5E2%20%2B%204h%5E3x%20%2B%20h%5E4%29%20-%20x%5E4%7Dh%20%5C%5C%5C%5C%20~~~~~~~~%20%3D%20%5Clim_%7Bh%5Cto0%7D%20%5Cfrac%7B4hx%5E3%20%2B%206h%5E2x%5E2%20%2B%204h%5E3x%20%2B%20h%5E4%7Dh%20%5C%5C%5C%5C%20~~~~~~~~%20%3D%20%5Clim_%7Bh%5Cto0%7D%20%284x%5E3%20%2B%206hx%5E2%20%2B%204h%5E2x%20%2B%20h%5E3%29%20%3D%20%5Cboxed%7B4x%5E3%7D)
In general, the derivative of a power function
is
. (This is the aptly-named "power rule" for differentiation.)
Option D should be your answer.
No combo of any of those angles add up to exactly 180 to suggest that they are parallel lines.
You write it in verbal expression so 1) 16 less than T is 39 2) product of 2 and w 3) the sum of v and 12 is 30 4) 8 more than w 5) the sum of n and 8 is 47