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:
x = 6 or x = -15
Step-by-step explanation:
x2+9x−90=0
Step 1: Factor left side of equation.
(x−6) (x+15)=0
x−6=0
x+15=0
x=6
x=−15
x=6
x=−15
57° is the answer
A triangle adds up to 180° , a circle adds up to 180°
T = 126 °
S = 180° - 126°
S= 54°
R = 69°
Q + S + R = 180°
69 + 54° = 123°
=180° - 123° =
Q= 57°
Answer:
3(7+8)
3(15)
45 is the answers for the question
Step-by-step explanation:
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