Deneme Sınavı Soruları

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

Which of the following (x,y) points is not a critical one (either maximum, minimum or saddle point) for the function f(x,y)=x²y²-x²-y²?

What is the first derivative of the function f(x)=(2/x)+3x²

Which of the following is the slope of the graph of  at the point (1, 1)?

If f(x,y)=x²+5xy-3y² find f_xy-f_yx

f(x, y) = e^xy + xy² – xy + 2 ; ∂²f / ∂x² = ?

What is the set of continuity of f(x) = x² / (4 – x²) ?

Which of the following functions is continuous at x=0?

A particle moves along the x-axis in such a way that its position at time t is . Find the average velocity over the interval [1, 3].

What is the shortest distance between the point P(2, 0) and a line y=3x.

Wthat is he slope of the tangent line to the curve y = x³ - 2x + 5 at the point (0, 4) equal to? 

Which of the following is the local minimum point of the function f (x, y) = x² + 2 y² + 2 x + 3 y ?

Let  be given. What is the value of f (3)?

What is the solution of  

(2⁸ + 2⁶) / (4³ + 4⁴) = ?

For the functions f : R→ R , f (x) = 3x - 7 and g : R→ R , g(x) = -x + 3, what is the value of the composition (f ∘ g)(2)=?