Deneme Sınavı Soruları

Which of the following (x,y) points is a local maximum for the function f(x,y)=x²y²-x²-y²?

f(x, y) = e^xy + xy² – xy + 2 ; ∂²f / ∂y² = ?

A company produces a certain item whose demand function is 

and supply function is

For what values of x is there a market surplus?

Given the function find the second derivative at the point x=1.

What is the value of the ?

For which of the following functions the limit is equal to zero as x goes to infinity?

Which of the following (x,y) point is in the domain of the function  where x and y are real numbers?

The position of a particle moving along the x-axis at time t is given by f(t) = 3t² -2t (metre). Find the average velocity over the interval [4, 6]

What is the equations of a normal line for a function f (x, y) = x²+3y² at a point (x, y) = (1, 1)?

For the function, find the derivative f'(x), at the point x=0?

Find the equation of the tangent plane to $z=\ln \left(2x+y\right)$ at $(-1,3).$

Which power of 6 is between 1200 and 1500?

Suppose that f(x)=3x-1 and g(x)=x²-1. Find f/g(3).

Which of the following is not a exponential function?

ln(x²) – ln(4 e² x) = -2. x = ?

The graph of f :R→R is given above. According to this, what is the value of 2f (5/2)–f (-3) ?

Which of the following sets contain the roots of the polynomial equation

f(x)=x²-5x+6=0?

Given that f : R→ R, f (x) = 3x + 5 which of the following equals to f^-1 (2)?