Deneme Sınavı Soruları

f (x, y, z) = xyz – xy – xz + yz ; grad f (-1, 2, -3) = ?

If f(x,y)=5+e^-3y+x.lnx

What is the partial derivative ∂f/∂x= ?

For which of the following total cost functions, is the marginal cost constant?

A company produces a certain item whose demand function is 

and supply function is

For what values of x is there a market shortage?

Let p denote the price and q denote the quantity of a product. If the demand to this product is given by 

What is the price elasticity of demand when p=10?

Assume that for x=2, the left limit of f(x) is "a" for x=2, and the right limit of f(x) is "b". Then what will be a-b?

Which one can be said true for derivatives?

What is the limit of the function f(x) = ( x-7 / x - 5) at x = 5?

Determine the set of continuity of the function f (x) = x² -1. 

At which point on the graph of the function the slope is zero?

The demand function of a product is given by p=100-4x, and the supply function is p=1/2x-10. Which of the following is the equilibrium price?

If demand is of unit elasticity,which of the following is true?

log₂9 . log₅8 . log₉25 = ?

According to the Richter scale, earthquake magnitude 7.0 is how many times greater than 5.0 ?

f : R → R, f(x) = -x + 3, if x ≤ 4 ; f(x) = -1, if x > 4. 3 f(-2) + 4 f(16) = ?

Which of the following statements is false?

What is the solution set of the inequality x-2>0?

What is the solution of log₃27?

Let the functions m: R→R, m(x)=(3/x)+7 and k: R→R, k(x)=3/(x-2), what is the value of m(k(1))?