Mathematics

Derivatives

Grade 11 · High School

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Question 1 of 20Easy
The derivative of $f (x) = x^{2}$ is ...
Question 2 of 20Easy
The derivative of $f (x) = 3 x^{2} + 2 x$ is ...
Question 3 of 20Easy
The derivative of $f (x) = x^{3}$ is ...
Question 4 of 20Easy
The derivative of $f (x) = 5 x$ is ...
Question 5 of 20Easy
The derivative of $f (x) = 7$ is ...
Question 6 of 20Easy
The derivative of $f (x) = 4 x^{3}$ is ...
Question 7 of 20Medium
Given $f (x) = x^{2} - 4 x + 1$ . The value of $f^{'} (2)$ is ...
Question 8 of 20Medium
The derivative of $f (x) = 3 x^{2} - 5 x$ is ...
Question 9 of 20Medium
The derivative of $f (x) = (2 x + 1) (x - 3)$ is ...
Question 10 of 20Medium
The derivative of $f (x) = \frac{x}{x + 1}$ is ...
Question 11 of 20Medium
The derivative of $f (x) = (x^{2} + 1)^{3}$ is ...
Question 12 of 20Medium
The derivative of $f (x) = sin 2 x$ is ...
Question 13 of 20Medium
The derivative of $f (x) = x^{3} - 3 x^{2} + 2$ is ...
Question 14 of 20Medium
The derivative of $f (x) = x$ is ...
Question 15 of 20Hard
The derivative of $f (x) = x^{2} sin x$ is ...
Question 16 of 20Hard
The derivative of $f (x) = \frac{2 x + 1}{x - 1}$ is ...
Question 17 of 20Hard
The derivative of $f (x) = cos 3 x$ is ...
Question 18 of 20Hard
The equation of the tangent line to the curve $y = x^{2} - 3 x$ at $x = 2$ is ...
Question 19 of 20Hard
Given $f (x) = x^{3} - 6 x^{2} + 9 x + 1$ . The values of $x$ satisfying $f^{'} (x) = 0$ are ...
Question 20 of 20Hard
Given $f (x) = x^{3} + a x^{2} + 3 x$ and $f^{'} (1) = 0$ . The value of $a$ is ...

0/20 answered