Answer:
Step-by-step explanation:
<u>Solving in steps:</u>
- - 8 3/4 ÷ 2 1/6 =
- - 35/4 ÷ 13/6 =
- - 35/4 × 6/13 =
- - 35/2 × 3/13 =
- - 105/26 =
- - 4 1/26
Answer:
B
Step-by-step explanation:
1 is 100% so increasing it by 12% means adding 0.12 to it
Answer:
(x,y) --> (x, y-5)
Step-by-step explanation:
the y-intercept of f(x) = (0,2)
the y-intercept of g(x) = (0, -3)
-3 - 2 = -5
Answer:

Step-by-step explanation:
<u>The Derivative of a Function</u>
The derivative of f, also known as the instantaneous rate of change, or the slope of the tangent line to the graph of f, can be computed by the definition formula

There are tables where the derivative of all known functions are provided for an easy calculation of specific functions.
The derivative of the inverse tangent is given as

Where u is a function of x as provided:

If we set

Then


Taking the derivative of y
![y'=3[tan^{-1}(x+\sqrt{1+x^2})]'](https://tex.z-dn.net/?f=y%27%3D3%5Btan%5E%7B-1%7D%28x%2B%5Csqrt%7B1%2Bx%5E2%7D%29%5D%27)
Using the change of variables
![\displaystyle y'=3[tan^{-1}u]'=3\frac{u'}{1+u^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%27%3D3%5Btan%5E%7B-1%7Du%5D%27%3D3%5Cfrac%7Bu%27%7D%7B1%2Bu%5E2%7D)

Operating

