Deneme Sınavı Soruları

Which of the functions is not differentiable for x=0?

For the function , find the second derivative 

lim_x→-∞ (-x²⁶ + 1) / (x²⁵ + x²⁴ – 1) = ?

At which (x,y) point is the value of the function

y=f(x)=x²-6x+5 is minimum?

Which of the following is the value of lim_x→7 [(x² -2x - 35) / (x - 7)]

z = x + y² ; x = u - v ; y = u v² ; at u = v = -1, ∂z / ∂v = ?

For z = x²+ylnx, and x=u³+v² and y=v, find the partial derivative ∂z / ∂v at u=1, v=-3.

If then which of the following is the value of ?

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

If then which of the following is the value of ?

For the function , find the derivative function 

A hardware manufacturer company sells its new product for 130 TL per item. Total cost consists of a fixed cost of 4400 TL, and the production cost of 50 TL per item. What is the break-even point?

Which of the following functions are polynomial?

I-   f(x)=4x²-5x+3

II-  g(x)=2x^-3-5x-1

III- h(x)=0.6x³-0.5x

IV- p(x)=7x^3/2-2x+4

There are 22 students in a class. 16 of them has blue pens. 18 of them has red pens. How many of them has both blue and red pens?

Find the inverse of the function f(x)=(2x-3)/(4x+1).

In normal conditions, a bacteria increases at a rate of proportionally. If there is 30 bacterias exist initially and 180 bacterias in one hour, find the number of bacterias in four hour?

Let f : R → R, f (x) = 5x² +10x + 7 given. What is the value of f (-1)?

If the half-life of 100 grams of radioactive material is 2000 years, how much of the 100 grams will remain after 1000 years?

What is the solution of log₂16?