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Justin R.
Student at Stanford University, Online Tutor for 2 years
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Calculus
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Question:

Find the derivative of 9x - sin(x)

Justin R.

Since we are not multiplying or dividing multiple terms with x in them, we simply take the derivative of each term separately. The derivative of 9x is 9 (essentially using the power rule to get 9 * 1 * x^0, which is the same as 9). The derivative of sin(x) is cos(x). Our overall result is d/dx(9x - sin(x)) = 9 - cos(x)

Economics
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Question:

What (if anything) happens in the supply and demand model of the market for cars when there is an increase in the cost of manufacturing engines?

Justin R.

Since there was a rise in the price of an input in the car manufacturing process, firms that produce cars are going to produce a smaller quantity of cars at every possible price. The supply curve is going to shift to the left. This will initially create a shortage, and consumers will bid the price of cars up to reach a new equilibrium at a higher price. Overall, quantity supplied decreased and price increased.

Algebra
TutorMe
Question:

Solve for x: 5x + 29 = 34

Justin R.

First, isolate x by subtracting 29 from both sides: 5x = 34 - 29 5x = 5 Now, divide both sides by 5 to get your answer: x = 1

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