Answer: 16
Step-by-step explanation:
First, you need to do 12+16, which gives you 28. Next, you need to do 92-28, which gives you 64, then divide that by 4 and you get 16.
Make x the subject means you need to solve for x
y = ax^2 solve for x
divide both side by a
y/a = ax^2/a
simplify
y/a = x^2
so
x = square root (y/a)
5:3 20:12 just multiply by whatever number by both of them
Answer:
kkk
Step-by-step explanation:
The derivatives for this problem are given as follows:
a) ![f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}](https://tex.z-dn.net/?f=f%5E%7B%5Cprime%7D%28x%29%20%3D%20-4%5Csin%7Bx%7D%20%2B%20%5Cfrac%7B1%7D%7Bx%20%2B%201%7D)
b)
.
<h3>What is the derivative of the sum?</h3>
The derivative of the <u>sum is the sum of the derivatives</u>.
In this problem, the function is:
![f(x) = 4\cos{x} + \ln{(x + 1)}](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%5Ccos%7Bx%7D%20%2B%20%5Cln%7B%28x%20%2B%201%29%7D)
Using a derivative table for the derivatives of the cosine and the ln, the derivative of the function is:
![f^{\prime}(x) = (4\cos{x})^{\prime} + (\ln{(x + 1)})^{\prime}](https://tex.z-dn.net/?f=f%5E%7B%5Cprime%7D%28x%29%20%3D%20%284%5Ccos%7Bx%7D%29%5E%7B%5Cprime%7D%20%2B%20%28%5Cln%7B%28x%20%2B%201%29%7D%29%5E%7B%5Cprime%7D)
![f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}](https://tex.z-dn.net/?f=f%5E%7B%5Cprime%7D%28x%29%20%3D%20-4%5Csin%7Bx%7D%20%2B%20%5Cfrac%7B1%7D%7Bx%20%2B%201%7D)
What is the product rule?
The derivative of the product is given as follows:
![(f(x) \times g(x))^{\prime} = f^{\prime}(x)g(x) + g^{\prime}(x)f(x)](https://tex.z-dn.net/?f=%28f%28x%29%20%5Ctimes%20g%28x%29%29%5E%7B%5Cprime%7D%20%3D%20f%5E%7B%5Cprime%7D%28x%29g%28x%29%20%2B%20g%5E%7B%5Cprime%7D%28x%29f%28x%29)
In this problem, we have that:
.
.
Hence the derivative is:
.
More can be learned about derivatives at brainly.com/question/2256078
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