Deneme Sınavı Soruları

The position of a vehicle at time t is defined by the function f(t)=5t²-2t+1. What is the average average velocity of vehicle between time interval [1,3]?

What is the equation for the tangent line to the function f(x)=x²-2x+1 at point (2,1)?

lim_x→0 0⁰ = ?

lim_x→-∞ (8 x⁵⁵⁵ – 1) / (4 x⁵⁵⁵ + 2 x⁵⁵⁴ + 1) ?

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, 4].

Determine the set of continuity of the function .

Find the lim x→2 (5x-2)(3x²+1).

z = f(x, y) is defined implicitly by xz + yz - 3 = 0 ; Which of the following ones below is the equation of the tangent plane to the graph of z = f (x, y) around the point (-1, 2, 1) ?

If f(x) is differentiable on an interval I,

I.  f '(x) < 0 for all x ∈ (a, b) then f(x) is called monotone increasing

II. f '(x) > 0 is satisfied for all x ∈ (a, b) then f(x) is called monotone increasing

III. f '(x) > 0 is satisfied for all x ∈ (a, b) then f(x) is called monotone decreasing

IV. f '(x) < 0 for all x ∈ (a, b) then f(x) is called monotone decreasing

which of the given statements is true about monotonicity?

The function z=f(x, y) is implicitly defined by x²y-3y²+2zx=0. Find dz/dx

Which of the following graphs belongs to the function f(x)=x²+4?

Which of the following is not a point on the line y=2x+1?

Functions, which are represented by different formulas on different subsets of its domain are called … functions.

What is the largest domain of the function f(x) = (2x - 4) / (2x - 10)? 

I.   log_a(xy) = log_ax * log_ay
II.  log_a(x/y) = log_ax / log_ay
III. log_a(1/y) = −log_ay
IV. log_a(x^y) = ylog_ax

Which of the above arguments are true?

Which of the following is a solution set of 2x-2=0?