Lesson Example Discussion Quiz: Class Homework |
Quiz At Home |
Title: Differentiation |
Grade: 10-a Lesson: S2-L5 |
Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts. |
Quiz: in Class
| Problem Id | Problem | Options |
|---|---|---|
1 |
Find the derivative of the function \$f(x) = 3x^4 - 2x^3 + 5x^2 - 7x + 9\$. |
A) \$ 16x^3 - 6x^2 + 8x - 5 \$ B) \$ 12x^3 - 6x^2 + 10x - 7 \$ C) \$ x^3 + 6x^2 + 10x - 7 \$ D) \$ 12x^3 - 3x^2 + 10x - 9 \$ |
2 |
Find the derivative of the function \$f(x) = sqrt(2x^3 + 4x^2 - 5x + 3)\$. |
A) \$ (6x^2 + 8x - 5) / (sqrt(2x^3 + 4x^2 - 5x + 3)) \$ B) \$ (6x^2 - 8x - 5) / (sqrt(2x^3 + 4x^2 - 5x + 3)) \$ C) \$ (6x^2 + 8x - 5) / (2sqrt(2x^3 + 4x^2 - 5x + 3)) \$ D) \$ (6x^2 + 8x - 5) / (2sqrt(2x^3 - 4x^2 + 5x + 3)) \$ |
3 |
Find the derivative of the function \$f(x) = ln(2x + 1)^3\$. |
A) \$ 6(2x + 1)^2 \$ B) \$ 3(2x + 1)^4 \$ C) \$ 3/(2x + 1) \$ D) \$ 6/(2x + 1) \$ |
4 |
Find the derivative of the function \$f(x) = e^(3x^2 + 2x)\$. |
A) \$ (6x + 2)e^(3x^2 + 2x) \$ B) \$ (x^3 + x^2)e^(3x^2 + 2x) \$ C) \$ (3x + 2)e^(3x^2 + 2x) \$ D) \$ (x + 2)e^(3x^2 + 2x) \$ |
5 |
Find the derivative of the function \$f(x) = sin^2(x)cos(x)\$. |
A) \$ 2sin(x)cos^2(x) - sin^3(x) \$ B) \$- 2sin(x)cos^2(x) - sin^3(x) \$ C) \$ 2cos(x)cos^2(x) - sin^3(x) \$ D) \$ 2sin(x)cos^2(x) + sin^3(x) \$ |
6 |
Find the derivative of the function \$f(x) = e^(2x) * sin(3x)\$. |
A) \$ 2e^(2x) * sin(3x) + 3e^(2x) * cos(3x) \$ B) \$ 2e^(2x) * sin(3x) - 3e^(2x) * cos(3x) \$ C) \$ - 2e^(2x) * sin(3x) + 3e^(2x) * cos(3x) \$ D) \$ 2e^(2x) * sin(3x) + 3e^(2x) * sin(3x) \$ |
7 |
Find the derivative of the function \$f(x) = ln(x^2 + 1) / x\$. |
A) \$ ((2x^2) / (x^2 + 1) - ln(x^2 + 1)) / x^2 \$ B) \$ (x^2 / (2(x^2 + 1)) + ln(x^2 + 1)) / x^4 \$ C) \$ (x^2 / (x^4 + 1) - ln(x^2 + 1)) / x^2 \$ D) \$ (2x^2 * (x^2 + 1) - ln(x^2 + 1)) / x^2 \$ |
8 |
Find the derivative of the function \$f(x) = (2x^3 + 3x^2 - 4) / (x^2 + 1)\$. |
A) \$ (2x^3 + 6x^2 + 16) / (x^2 + 1)^2\$ B) \$ (2x^4 + 6x^2 + 14x) / (x^2 + 1)^2\$ C) \$ (2x^4 + 12x^2 + 14x) / (x^2 + 1)^2\$ D) \$ (2x^4 + 6x^2 + 14x) / (x^2 + 1)^3\$ |
9 |
Find the derivative of the function \$r(x) = (x^2 + 3x - 2)^(2x + 1)\$. |
A) \$ (2ln(x^2 + 3x - 2) + ((2x - 3)(2x + 1))/(x^2 + 3x - 2)) + (x^2 + 3x - 2)^(2x + 1)\$ B) \$ (3ln(x^2 + 3x - 2) + ((2x + 3)(2x + 1))/(x^2 + 3x - 2))((x^2 + 3x - 2)^(2x + 3))\$ C) \$ (2ln(x^2 + 3x - 2) + ((2x + 3)(2x + 1))/(x^2 + 3x - 2))((x^2 + 3x - 2)^(2x + 1))\$ D) \$ ((2ln(x^2 + 3x - 2))/(x^2 + 3x - 2))((x^2 + 3x - 2)^(2x + 1))\$ |
10 |
Calculate the derivative of the function \$ s(x) = e^(ln(x) * ln(2x))\$. |
A) \$ e^(ln(x) * ln(2x)) * ((3ln2x)/(2x) + lnx/x) \$ B) \$ e^(ln(x) * ln(2x)) * ((2ln2x - lnx)/x) \$ C) \$ e^(ln(x) * ln(2x)) * (xln2x + xlnx) \$ D) \$ e^(ln(x) * ln(2x)) * ((ln2x + lnx)/x) \$ |
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