Deneme Sınavı Soruları

What is the derivative of f(x)=axⁿ-bx+c?

Given the function , find the derivative 

For the function , find the derivative function f'(x)?

What is the value of the limit;

lim_{(x,y)→(0,0)}  (5x²+y²) / (x²+y²)=?

What can be the maximum area of a rectengular field whose perimeter is 40 metres?

Given function , find the second derivative 

Which of the following is the value of ?

The motion of a particle is given by the function f(t) = 2t²–4t+3. Find its velocity at the instant t = 3.

lim_x→-∞ (x⁴ + x³ – 1) / (x⁵ + x² + 1) = ?

Assume that total cost function is 200+3x²+5x. For which level of production is the marginal cost is equal to 95?

What is the set of continuity of f(x) = 2 x / (x³ – 1) ?

The point where the quantity demanded equals the supply provided is called ________.

What is the solution of the equation 

Which of the following parabolas have a positive y intercept?

1. If we denote this real number by x, and the function by f we may express it as 
2. It is customary to also denote this function by y = f (x).
3. In the expression y = f (x), x is called the independent variable.
4. In the expression y = f (x), y is called the dependent variable.
5. In the equation y = f (x)=3x+4, the dependent variable y is a function of the independent variable x.

Consider the function that assigns to each real number three times itself and four. Which of the statements above is/are correct?

Which of the following properties are true for the exponential functions?

I.a^x+y=a^xa^y

II. a^x-y=a^x/a^y

III. (a^x)^y=a^x+y

IV.(ba)^y=b^ya^y

Which of the following statements is true?

A radioactive material losses 20 % of its weight after 10 years. What is the half-life of this material approximately?