1103024402
Level:
A
The graph of \( f \) is given in figure. Choose which of the following graphs is the graph of \( f' \)
(function \( f' \) is the derivative of a function \( f \)).
Derivative
1103024401
Level:
A
The graph of \( f \) is given in figure. Choose which of the following graphs is the graph of \( f' \)
(function \( f' \) is the derivative of a function \( f \)).
1103023905
Level:
A
The graph of \( f' \) is given in figure. Function \( f' \) is the derivative of a function \( f \). Choose which of the following graphs is the graph of \( f \).
1103023904
Level:
A
The graph of \( f' \) is given in figure. Function \( f' \) is the derivative of a function \( f \). Choose which of the following graphs is the graph of \( f \).
1103023903
Level:
A
The graph of \( f' \) is given in figure. Function \( f' \) is the derivative of a function \( f \). Choose which of the following graphs is the graph of \( f \).
1103023902
Level:
A
The figure shows the derivative of one of the functions displayed below. Choose the function.
1103023901
Level:
A
The graph of \( f' \) is given in figure. Function \( f' \) is the derivative of a function \( f \). Choose which of the following graphs is the graph of \( f \).
9000070809
Level:
B
Differentiate the following function.
\[
f(x)= 3x^{2}\sin x
\]
\(f'(x) = 6x\sin x + 3x^{2}\cos x;\ x\in \mathbb{R}\)
\(f'(x) = 6x\cos x;\ x\in \mathbb{R}\)
\(f'(x) = 3x^{2}\sin x\cos x;\ x\in \mathbb{R}\)
\(f'(x) = -3x^{2}\sin x\cos x;\ x\in \mathbb{R}\)
9000070810
Level:
A
Differentiate the following function.
\[
f(x)=\log _{5}12
\]
\(f'(x) = 0;\ x\in \mathbb{R}\)
\(f'(x) = \frac{1}
{\ln 12};\ x\in \mathbb{R}\)
\(f'(x) = \frac{1}
{12\ln 5};\ x\in \mathbb{R}\)
\(f'(x) = 1;\ x\in \mathbb{R}\)
9000070806
Level:
A
Differentiate the following function.
\[
f(x) = \frac{\pi }
{x} +\ln 2
\]
\(f'(x) = - \frac{\pi }{x^{2}} ;\ x\in \mathbb{R}\setminus \{0\}\)
\(f'(x) = 0;\ x\in \mathbb{R}\setminus \{0\}\)
\(f'(x) =\pi ;\ x\in \mathbb{R}\setminus \{0\}\)
\(f'(x) = \frac{\pi } {x^{2}} ;\ x\in \mathbb{R}\setminus \{0\}\)