MAT109U
MATEMATİK I
6. Ünite
Soru 1
What is the derivative of f(x)=(3x2+5x)/(2x-1)
Soru 2
Which of the following is the slope of the graph of 
at the point (1, 1)?
at the point (1, 1)?
The answer is D.
Soru 3
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].
. Find the average velocity over the interval [1, 3].
The answer is B.
Soru 4
Given the function 
, find the derivative 
at the point x=0.
, find the derivative at the point x=0.
The answer is C.
Soru 5
Given the function f(x)=ln(2x), find the second derivative at the point x=3.
at the point x=3.
The answer is E.
Soru 6
At which point on the graph of the function 
the slope is zero?
the slope is zero?
So, the slope of the tangent line to the graph is zero at (-3/2, -37/4). The answer is B.
Soru 7
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].
. Find the average velocity over the interval [1, 4].
The answer is A.
Soru 8
Given the function 
find the second derivative 
at the point x=1.
find the second derivative at the point x=1.
The answer is C.
Soru 9
Find the 3rd derivative of f(x)=x3+lnx. (f'''(x)=?)
Soru 10
Which of the following functions is monotone increasing in interval (-∞, +∞) | x ≠0?
Soru 11
For the function f(x)=-x²+13x-27 find the derivative at the point x=5.
Soru 12
What is the derivative of the function which is given below?
f(x)=3x.e-5x
Soru 13
Which of the following is the slope of the graph of y=x²+7x-8 at the point (2,10)?
Soru 14
What is the derivative of the function which is given below?
f(x)=(x²-7)1/2
Soru 15
What is the derivative of the function f(x)=(x³-7) / (3x²+1) at the point x=1?
Soru 16
What is the second derivative of the function f(x)=e3x ?
Soru 17
Given function f(x) = (x+1)(3-x), find the local maximum value for this function
Soru 18
For the function f(x)=x²-4x+12 which of the followings is correct?
Soru 19
Three sides of a rectangular enclosure having one side along a wall must be fenced. Assume that 500 m of fence is available. Find the largest possible area of the enclosure.
Soru 20
At which point on the graph of the function y = x² - 6x – 1 the slope is zero?