Answer:
a=
b =
Step-by-step explanation:
- By equating coefficients on both sides of respective terms.
Given,
= 
+ 
<u>Now take </u><u>lcm</u><u> on right hand side </u>
=
By equating coefficients of respective terms
x-4 = a(x-2)+b(x+9)
a+b=1 -----1 ; 9b-2a=-4 -----2
Substitute b=1-a in 2
9(1-a)-2a=-4
11a=9+4=13
a=
As b=1-a=1- =
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)
X would be -2 to the second power
-2*-2^2 would give you 8 and 8-8 gives you 0
Answer:
Step-by-step explanation:
your basically multiplying everything in the first parenthesis by everything in the second parenthesis
(x + 4y + z)(x - 7y) =
x(x - 7y) + 4y(x - 7y) + z(x - 7y) =....keep in mind, 4yx is the same as 4xy
x^2 - 7xy + 4xy - 28y^2 + zx - 7zy....combine like terms
x^2 - 3xy - 28y^2 + zx - 7zy <---- your answer
this is the distributive property
