
Differentiation Skills Challenge
Quiz
•
Others
•
12th Grade
•
Hard
Renuka Rana
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find dy/dx for x = 2sin(t), y = 3cos(t)
dy/dx = -2sin(t)
dy/dx = -3tan(t)
dy/dx = -2tan(t)
dy/dx = 2tan(t)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Calculate d/dx(2x^2 + 3x + 1)
4x + 2
3x + 1
2x^2 + 3
4x + 3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Differentiate y^3 = x^2 + 2xy
dy/dx = (2x)/(3y^2 - 2x)
dy/dx = (2x)/(3y^2 + 2x)
dy/dx = (2x)/(3y^2 + 2y)
dy/dx = (2x)/(3y^2 - 2y)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Apply the chain rule to find dy/dx for y = (2x^2 + 3x)^3
dy/dx = 3(2x^2 + 3x)^2 * (4x - 3)
dy/dx = 3(2x^2 + 3x)^2 * (4x + 3)
dy/dx = 3(2x^2 + 3x)^2 * (2x + 3)
dy/dx = 3(2x^2 + 3x)^2 * (8x + 3)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the derivative of y = x^2 * e^x using the product rule
y' = 2x*e^x + x^2*e^x
y' = 2x*e^x - x^2*e^x
y' = 2x*e^x + e^x
y' = x^2*e^x - 2x*e^x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given y = sin(x) / x, find dy/dx using the quotient rule
(cos(x)*x - sin(x)) / x^2
(cos(x)*x + sin(x)) / x^2
(cos(x) - sin(x)) / x^2
(cos(x) + sin(x)) / x^2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Differentiate x^2 + y^2 = 25 implicitly
-x/y
2x + 2y = 0
y/x
x/y
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