Answer:
![\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%2Bg%28x%29%2Bh%28x%29%5D%20%3D%20%5Cfrac%7B9%5Ccdot%20x%5E%7B8%7D%7D%7B%5Csqrt%7B1-x%5E%7B18%7D%7D%7D%20-%2081%5Ccdot%20x%5E%7B80%7D-2%5Ccdot%20x)
Step-by-step explanation:
This derivative consist in the sum of three functions:
,
and
. According to differentiation rules, the derivative of a sum of functions is the same as the sum of the derivatives of each function. That is:
![\frac{d}{dx} [f(x)+g(x) + h(x)] = \frac{d}{dx} [f(x)]+\frac{d}{dx} [g(x)] +\frac{d}{dx} [h(x)]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29%2Bg%28x%29%20%2B%20h%28x%29%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29%5D%2B%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bg%28x%29%5D%20%2B%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bh%28x%29%5D)
Now, each derivative is found by applying the derivative rules when appropriate:
Given
(Derivative of a arcsine function/Chain rule)
Given
(Derivative of a power function)
Given
(Derivative of a power function)
(Derivative for a sum of functions/Result)
Answer: 544 cm²
<u>Step-by-step explanation:</u>
There are 5 sections to the tent:
- Front (triangle): A =
· b · h - Back (triangle): same dimensions as Front
- Base (rectangle): A = L · w
- Left Side (Rectangle): A = L · w
- Right side (rectangle): same dimensions as Left Side
Total Surface Area = Front & Back + Base + Sides
= 2[
(12 · 8)] + (12 · 14) + 2(14 · 10)
= 96 + 168 + 280
= 544
Answer:
p = 17/48 or 0.354
Step-by-step explanation:
11/16 = p + 4/12
subtract 4/12 from both sides
11/16 - 4/12 = p
convert so you have a common denominator
3(11/16) - 4(4/12)
33/48 - 16/48
= 17/48
p = 0.354
Answer:
Answer: The truck is worth of $27508 after 2 years.
Step-by-step explanation:
Since we have given that
The value in dollars v(x), of a certain truck after x years is represented by the equation :
We need to find the price of the truck after 2 years,
so, x= 2
So, we put the value of x = 2 in the above equation:
Hence, the truck is worth of $27508 after 2 years.