Ünite Sınavı Soruları

1
Which of the following is the slope of the graph of at the point (1, 1)?
2
What is the second derivative(f''(x)) of the function f(x)=x²+lnx-1?
3
Given that g(x)=2x+1 and f(x)=x^1/2what is the derivative of f(g(x))?
4
What is the derivative of f(x)=(3x²+5x)/(2x-1)
5
What is the derivative of f(x)=axⁿ-bx+c?
6
What is the first derivative of the function f(x)=x²+2x+lnx at point x=1?
7
What is the derivative of the function which is given below?

f(x)=(x²-7)^1/2
8
Which of the functions is not differentiable for x=0?
9
What is the slope of the tangent line to the curve y=3x²-1 at point (2, 11)?
10
What is the derivative of (2x + 1)³equal to?
11
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]?
12
Given the function find the second derivative at the point x=1.
13
Which of the following is the slope of the graph of at the point (2, 2)?
14
What is the derivative of f(x) = 2x³ + 5x + 3 at the point x = 3 equal to?
15
What is the average velocity of a particle in time interval [4,6] whose time(t) related position is given by the function f(t)=t²+4t?
16
Wthat is he slope of the tangent line to the curve y = x³ - 2x + 5 at the point (0, 4) equal to?
17
Given the function , find the derivative
18
What is the first derivative of function f(x)=x²e^x
19
In which interval is the function f(x)=x²-4x monotone increasing?
20
For the function , find the derivative function