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


Answer:
a=34 °
b=76°
c=70°
d=70°
Step-by-step explanation:
The angles 76° , 34°, and c make up a triangle. A triangle has a sum of 180°.
180° = 76° + 34° +c
c=70°
The parallel lines create 2 congruent triangles so we can use the same angles from the first triangle for the second one.
It changed by $.04 in 4 years.
$.04 / 4 = $.01
The stamp changed by 1 cent/year
2n+14=14+2n so this one as an infinite number of solutions. The second one 1-x=-x-6 so you add x on both sides which results in it having no solutions.
50. i’m sure you’re learning the proper mathematical way to do that, but my brain went ‘4+5 is 9. that’s 10 times less than 90’