Summarize the following:
The first rule you probably learned for finding derivatives is the power rule. This rule says that for a variable x{\displaystyle x} raised to any exponent a{\displaystyle a}, the derivative is as follows:  f(x)=xa{\displaystyle f(x)=x^{a}} f′(x)=axa−1{\displaystyle f^{\prime }(x)=ax^{a-1}} For example, review the following functions and their derivatives:  If f(x)=x2{\displaystyle f(x)=x^{2}}, then f′(x)=2x{\displaystyle f^{\prime }(x)=2x}  If f(x)=3x2{\displaystyle f(x)=3x^{2}}, then f′(x)=2∗3x=6x{\displaystyle f^{\prime }(x)=2*3x=6x}  If f(x)=x3{\displaystyle f(x)=x^{3}}, then f′(x)=3x2{\displaystyle f^{\prime }(x)=3x^{2}}  If f(x)=12x4{\displaystyle f(x)={\frac {1}{2}}x^{4}}, then f′(x)=4∗12x3=2x3{\displaystyle f^{\prime }(x)=4*{\frac {1}{2}}x^{3}=2x^{3}} To find the derivative of a square root function, you need to remember that the square root of any number or variable can also be written as an exponent. The term below the square root (radical) sign is written as the base, and it is raised to the exponent of 1/2. Consider the following examples:  x=x12{\displaystyle {\sqrt {x}}=x^{\frac {1}{2}}} 4=412{\displaystyle {\sqrt {4}}=4^{\frac {1}{2}}} 3x=(3x)12{\displaystyle {\sqrt {3x}}=(3x)^{\frac {1}{2}}} If the function is the simplest square root, f(x)=x{\displaystyle f(x)={\sqrt {x}}}, apply the power rule as follows to find the derivative:   f(x)=x     {\displaystyle f(x)={\sqrt {x}}\ \ \ \ \ }(Write the original function.)  f(x)=x(12)     {\displaystyle f(x)=x^{({\frac {1}{2}})}\ \ \ \ \ }(Rewrite the radical as an exponent.)   f′(x)=12x(12−1)   {\displaystyle f^{\prime }(x)={\frac {1}{2}}x^{({\frac {1}{2}}-1)}\ \ \ }(Find derivative with the power rule.)  f′(x)=12x(−12)   {\displaystyle f^{\prime }(x)={\frac {1}{2}}x^{(-{\frac {1}{2}})}\ \ \ }(Simplify exponent.) At this stage, you need to recognize that a negative exponent means to take the reciprocal of what the number would be with the positive exponent. The exponent of −12{\displaystyle -{\frac {1}{2}}} means that you will have the square root of the base as the denominator of a fraction. Continuing with the square root of x function from above, the derivative can be simplified as:  f′(x)=12x−12{\displaystyle f^{\prime }(x)={\frac {1}{2}}x^{-{\frac {1}{2}}}} f′(x)=12∗1x{\displaystyle f^{\prime }(x)={\frac {1}{2}}*{\frac {1}{\sqrt {x}}}} f′(x)=12x{\displaystyle f^{\prime }(x)={\frac {1}{2{\sqrt {x}}}}}

summary: Review the power rule for derivatives. Rewrite the square root as an exponent. Apply the power rule. Simplify the result.


Summarize the following:
This method will help you back up the entire system to another location. If you’re backing up to an external or flash drive, make sure it’s connected to the computer before you begin. This opens the search bar.   It’s at the top-right corner of the Control Panel.  It’s at the bottom-left corner of the window. It’s in the left panel. You can back up to another drive, network location, or series of DVDs. Now you’ll see a summary of what’s about to be backed up. An image of your computer in its current state will be copied to the selected location. Depending on the amount of data and backup location, this may take a long time.

summary: Connect another hard drive or flash drive to the computer. Press ⊞ Win+S. Type control panel. Click Control Panel. Type file history into the search field. Click the File History title. Click System Image Backup. Click Create a system image. Select where you want to save your backup. Click Next. Click Start backup.


Summarize the following:
This height is classified as a longboard. These tall boards are great for beginners, since they’re typically more stable and better for catching small waves. Rent your board at a local surf shop or find a friend with an extra board you can borrow. your longboard to make it less slippery. Apply a basecoat first to make sure the wax sticks, then rub wax overtop in circular and side-to-side motions. Cover the entire top surface of the board, then finish with a topcoat. You can also apply wax to the center area of the board’s rails, where you’ll be holding on when you turtle dive. This will help you grip the board more securely. Use a reliable resource with up-to-date and accurate tide/surf reports, such as https://www.surfline.com. This website covers many regions and also has live web cams that show you current conditions. Check the website before you head out for the day and look for middle level tides, which usually yield good waves. Checking the weather report for the day can help keep you from being caught in a storm and experiencing rough surf conditions.
summary: Rent or borrow a surfboard 8 foot (2.4 m) or taller. Wax Check the local surf report for 1–2 foot (0.3–0.6 m) waves for beginners.