The derivative of xe^x is e^x + xe^x. This can be found using the product rule of differentiation, which states that the derivative of the product of two functions is the first function times the derivative of the second function plus the second function times the derivative of the first function. Applying this rule to xe^x, we get e^x + xe^x as the derivative. **

To calculate the extreme points using the formula xe = b/2a, you first need to determine the values of a and b from the quadratic equation in the form of ax^2 + bx + c. Once you have identified the values of a and b, you can plug them into the formula xe = -b/2a to find the x-coordinate of the extreme point. This x-coordinate represents the axis of symmetry of the parabola. **

It is difficult to determine if the Vaillant VK 116 1 XE is defective after the summer break without more specific information on the issues it is experiencing. Common problems that may arise after a long break include clogged filters, airlocks in the system, or issues with the thermostat. It is recommended to have a professional inspect the boiler to identify any potential defects and address them accordingly. **

To calculate the extreme values using the formula xe b2a, you first need to determine the values of a and b from the given quadratic equation in the form of ax^2 + bx + c. Once you have identified the values of a and b, you can substitute them into the formula xe b2a to find the x-coordinate of the vertex of the parabola. The x-coordinate of the vertex represents the extreme value of the quadratic function. **

To record money in the Sharp XE-A137 cash register, you can follow these steps: 1. Press the "Mode" key to select the "Reg" mode for regular sales transactions. 2. Enter the amount of the sale using the numeric keypad. 3. Press the "Cash" key to finalize the transaction and record the amount of money received. 4. The cash register will then calculate the change due to the customer, if applicable, and open the cash drawer for you to complete the transaction. Following these steps will ensure that the money received from the sale is accurately recorded in the cash register. **

Renewable resources and sustainable resources are related concepts but not exactly the same. Renewable resources are those that can be replenished naturally over time, such as sunlight, wind, and water. Sustainable resources, on the other hand, refer to resources that are managed in a way that meets current needs without compromising the ability of future generations to meet their own needs. While renewable resources are often considered sustainable, not all sustainable resources are necessarily renewable, as some non-renewable resources can be managed in a way that ensures their long-term availability. **

Eco-friendly women may choose not to shave for a variety of reasons related to sustainability and environmental impact. Shaving requires the use of disposable razors, which contribute to plastic waste in landfills. Additionally, the production and transportation of shaving products can have a significant carbon footprint. By opting not to shave, eco-friendly women can reduce their personal contribution to waste and carbon emissions, aligning with their values of environmental conservation. **

The cause of the defect in the Panasonic NR-B53V1-XE is likely due to a malfunction in the refrigerator's cooling system. This could be caused by a variety of factors such as a faulty compressor, a refrigerant leak, or a problem with the temperature control mechanism. These issues can lead to inadequate cooling and temperature regulation, resulting in spoiled food and an ineffective appliance. It is important to have a professional technician diagnose and repair the specific cause of the defect to ensure the refrigerator operates properly. **