Step-by-step explanation:
Hope this helps you ☺️☺️☺️
Answer:

Step-by-step explanation:
- If f(x) is in th form of f(x)=g(x)-h(x) then f'(x)=g'(x) - h'(x)
- When f(x)=z(g(x)) then f'(x)= z'(g(x))g'(x) (called as chain rule)
<u>using these information</u>:
g(x)=ln2x then g'(x)=
h(x)=In(3x - 1) then h'(x)=![\frac{(3x-1)'}{3x-1} =\frac{3}{3x-1}f'(x)=g'(x) - h'(x) =[tex]\frac{1}{x} - \frac{3}{3x-1} =\frac{-1}{3x^2-x}](https://tex.z-dn.net/?f=%5Cfrac%7B%283x-1%29%27%7D%7B3x-1%7D%20%3D%5Cfrac%7B3%7D%7B3x-1%7D%3C%2Fp%3E%3Cp%3Ef%27%28x%29%3Dg%27%28x%29%20-%20h%27%28x%29%20%3D%5Btex%5D%5Cfrac%7B1%7D%7Bx%7D%20-%20%5Cfrac%7B3%7D%7B3x-1%7D%20%3D%5Cfrac%7B-1%7D%7B3x%5E2-x%7D)
Answer:
Step-by-step explanation:
<u>Simplify the numerator:</u>
- 1/x² + 2/y =
- y/(x²y) + 2x²/(x²y) =
- (2x² + y)/(x²y)
<u>Simplify the denominator:</u>
- 5/x - 6/y² =
- 5y²/(xy²) - 6x/(xy²) =
- (5y² - 6x) / (xy²)
<u>Simplify the fraction:</u>
- (2x² + y)/(x²y) ÷ (5y² - 6x) / (xy²) =
- (2x² + y)/(x²y) × xy² / (5y² - 6x) =
- y(2x² + y) / x(5y² - 6x)
A = 6 cm; B = 3 cm; C = 8 cm; D = 10 cm
The Surface area of the prism = 120 cm².
<h3>How to Find the Surface Area of Triangular Prism?</h3>
Surface area = Area of A + B + C + D
The side lengths are:
A = 6 cm
B = 3 cm
C = 8 cm
D = 10 cm
Surface area of the prism = 2(area of triangular face) + area of rectangle 1 + area of rectangle 2 + area of rectangle 3
Area of triangular face = 1/2(b)(h) = 1/2(8)(6) = 24 cm
Area of rectangle 1 = (length)(width) = (10)(3) = 30 cm²
Area of rectangle 2 = (length)(width) = (6)(3) = 18 cm²
Area of rectangle 3 = (length)(width) = (8)(3) = 24 cm²
Surface area of the prism = 2(24) + 30 + 18 + 24 = 120 cm².
Learn more about Surface Area of Triangular Prism on:
brainly.com/question/16147227
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