Hey smart cookie ;)
So with this all we need to do is factor the expression.
Our answer is going to be 2x(16x^4+15)
Let me know if you have other questions!
Have a terrific day.
~Brooke❤️
Divide distance with time
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: $12.54
Step-by-step explanation:
you add $10.00 to 4.5% which gives you $10.45
and then you add 20% on to that and you get $12.54