Problem: Article: Derivatives give you the rate of change (or slope) at a single point on a line. The line can be curved or straight -- it doesn't matter. Think of it as how much the line is changing at any time, instead of the slope of the entire line. How you take derivatives changes depending on the type of function you have, so review how to take common derivatives before moving on.  Review taking derivatives here The most simple derivatives, those for basic polynomial equations, are easy to find using a simple shortcut. This will be used for the rest of the method. You will not always be asked to explicitly find the derivative or slope of a curve. You might also be asked for the "rate of change at point (x,y). You could be asked for an equation for the slope of the graph, which simply means you need to take the derivative. Finally, you may be asked for "the slope of the tangent line at (x,y)." This, once again, just wants the slope of the curve at a specific point, (x,y).  For this method, consider the question: "What is the slope of the line f(x)=2x2+6x{\displaystyle f(x)=2x^{2}+6x} at the point (4,2)?"  The derivative is often written as f′(x),y′,{\displaystyle f'(x),y',} or dydx{\displaystyle {\frac {dy}{dx}}} You don't even really need you graph, just the function or equation for your graph. For this example, use the function from earlier, f(x)=2x2+6x{\displaystyle f(x)=2x^{2}+6x}. Following the methods outlined here, take the derivative of this simple function. Derivative: f′(x)=4x+6{\displaystyle f'(x)=4x+6} The differential of a function will tell you the slope of the function at a given point. In other words, f’(x) is slope of the function at any point (x,f(x)) So, for the practice problem:  What is the slope of the line f(x)=2x2+6x{\displaystyle f(x)=2x^{2}+6x} at the point (4,2)?  Derivative of Equation: f′(x)=4x+6{\displaystyle f'(x)=4x+6}   Plug in Point for x: f′(x)=4(4)+6{\displaystyle f'(x)=4(4)+6}  Find the Slope: The slope of the f(x)=2x2+6x{\displaystyle f(x)=2x^{2}+6x} at (4,2) is 22. Know that not all points in calculus will have a slope. Calculus gets into complex equations and difficult graphs, and not all points will have a slope, or even exist on every graph. Whenever possible, use a graphing calculator to check the slope of your graph. If you can't, draw the tangent line using your point and the slope (remember -- "rise over run") and note if it looks like it could be correct. Tangent lines are just lines with the exact same slope as your point on the curve. To draw one, go up (positive) or down (negative) your slope (in the case of the example, 22 points up). Then move over one and draw a point. Connect the dots, (4,2) and (26,3) for your line.
Summary: Review how to take a variety of derivatives from common functions. Understand what questions are asking for a slope using derivatives. Take the derivative of your function. Plug in your point to the derivative equation to get your slope. Check your point against a graph whenever possible.

INPUT ARTICLE: Article: Use wood screws to attach 2 of the width pieces to 2 of the height pieces. They should form a rectangle once connected. The width pieces should be opposite one another, the same with the height pieces. Then, do the same process again with your remaining 4 short pieces of wood. You should now have 2 rectangles that will form the ends of your hutch. Use wood screws to secure each single length piece of wood so that it runs from the corner of one end to the corner of the other completed end. Continue until you’ve screwed in all 4 long pieces. In the end, your rabbit hutch frame should resemble a three-dimensional rectangle. Rotate the frame on the ground until it is properly positioned, minus the supports. This will help you to visualize how to attach the mesh. Get each cut mesh piece and secure it to one of the open spaces in the frame using an industrial staple gun and staples. Use about a staple every inch or so (or every several centimeters) to secure the mesh to prevent any gaps from forming. Make sure that you hold the mesh tight as you attach it. For that reason, it really helps to have another person help you with this stage of the building process. With the hutch facing upright, position your roof on top of the frame. Screw it in to the frame around the edges. Get another person to help you flip the hutch over on to its top, so the bottom if facing upwards. Position the flooring plywood on the frame and screw it in securely. Flip the hutch back over carefully. You can use a simple piece of cut plywood as a divider. To keep the air moving in the cage, it’s best if you punch or bore out a few smooth holes into the wood before inserting it. Use your wire cutters to cut the mesh and make a space in the front of the cage for a door. Roll pieces of plastic trim over the newly exposed edges of the wire mesh. You can also make a square wood frame for your door, attach two hinges to it, and then cover it with wire mesh before installing it. Or, you can make your door out of wire alone. Attach the door to the main structure using c-rings or staples.  A wire door is simpler to create. However, it can become difficult to open and close over time. A wood door is sturdier. However, it takes more time to construct. Consider adding a latch for your door as well. This will help to prevent the possibility of your rabbits’ escaping. A simple sliding latch is the best option for a wooden door. If you use a wire door, then you may want to go with a wire hook latch. With a helper, flip the hutch upside down once more. Then, use a combination of L-brackets and wood screws to secure the legs posts to the base. You should attach a single leg to each of the 4 corners of the frame.

SUMMARY: Screw together your 2 end sections. Attach the length pieces to the ends. Attach the mesh to the wood frame. Attach the top and bottom last. Create the door. Attach the support posts.

In one sentence, describe what the following article is about: Find the circuit breaker or fuse box, which will be in the basement or bottom floor of your home. Flip the switch for the garage. To test for an electrical current, plug a radio or lamp into a wall outlet in the garage. If the power is off, the device won’t turn on. Pick an outlet as close to the door as possible to make installing the floodlights easier. Use a screwdriver to loosen the outlet. Remove the screws on the sides of the outlet to free the wires. Leave the electrical box containing the wires in the wall. Visit a home improvement store to purchase an extension box that is the same shape as the outlet. The mounting plate will be included. Fit the plate around the electrical box and, using the included screws, fasten it to the wall. First, look for a circle, also called a knock-out plug, on the top surface of the extension box. Use the tip of your screwdriver to pry the plug up and away. Then position a 1⁄2 in (1.3 cm) metal conduit connector on top of the hole. The metal conduit connector, along with other conduit pieces, can be found at most home improvement stores. The extension box will come with 2 long screws. Position the extension box on the plate with the conduit connector facing upwards. Line up the holes on the box and plate, then use the screws to fasten them together.
Summary:
Turn off the electricity to the garage. Unscrew a wall outlet near the garage door. Screw a metal mounting plate over the electrical box. Attach a metal conduit connector to the extension box. Screw the extension box to the mounting plate.