Answer:
the question is blurry take a picture again
Step-by-step explanation:
Answer:
1) 88:100=44:50=22:25 (simplest answer)
2) 12:88=3:22 (simplest answer)
(7/2,-7) ther I hope it help
Answer:
![\displaystyle \frac{dy}{dx} = -2x \tan (x^2)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20-2x%20%5Ctan%20%28x%5E2%29)
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]: ![\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
![\displaystyle y = \ln (\cos x^2)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%20%5Cln%20%28%5Ccos%20x%5E2%29)
<u>Step 2: Differentiate</u>
- Logarithmic Differentiation [Derivative Rule - Chain Rule]:
![\displaystyle y' = \frac{(\cos x^2)'}{\cos x^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7B%28%5Ccos%20x%5E2%29%27%7D%7B%5Ccos%20x%5E2%7D)
- Trigonometric Differentiation [Derivative Rule - Chain Rule]:
![\displaystyle y' = \frac{-\sin x^2 (x^2)'}{\cos x^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7B-%5Csin%20x%5E2%20%28x%5E2%29%27%7D%7B%5Ccos%20x%5E2%7D)
- Basic Power Rule:
![\displaystyle y' = \frac{-2x \sin x^2}{\cos x^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20%5Cfrac%7B-2x%20%5Csin%20x%5E2%7D%7B%5Ccos%20x%5E2%7D)
- Rewrite [Trigonometric Identities]:
![\displaystyle y' = -2x \tan (x^2)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%20%3D%20-2x%20%5Ctan%20%28x%5E2%29)
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Ben will receive $28 change from a hundred dollar bill