Calculus Derivatives Game
Quiz by Aseel Ismail
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- Q1
How can the tangent line of a function be found?
Derivatives
Integrals
Parabolas
Logarithms
30s - Q2
What are the main rules used in finding derivatives?
Implicit Differentiation, Point-Slope form, and Power Rule
Chain Rule, Power of a Power, and the Zero Product Property
Product Rule, Quotient Rule, and Chain Rule
Product Rule, Power Rule, and the Zero Product Property
30s - Q3
What is the derivative of f(x) = x3 + 2x4
f'(x) = 3x2 + 8x3
f'(x) = x2 + x4
f'(x) = x4 /4 + 2x5/5
f'(x) = 0
45s - Q4
What is the derivative of f(x) = ex
f'(x) = 0
f'(x) = ln x
f'(x) = ex
f'(x) = 0
30s - Q5
What is the derivative of f(x) = x
f'(x) = x2
f'(x) = 1
f'(x) = 2x
f'(x) = x
30s - Q6
What is the derivative of f(x) = x3 / 4
f'(x) = 3x2/4
f'(x) = 12x2/4
f'(x) = 3x2/16
f'(x) = 12x2 / 16
30s - Q7
What is the derivative of f(x) = (x)2
f'(x) = 2x + 1
f'(x) = 3x
f'(x) = 2x
f'(x) = x2/2
30s - Q8
What is the derivative of f(x) = 3
f'(x) = 3x3
f'(x) = 0
f'(x) = 3y
f'(x) = 3x
30s - Q9
What is the derivative of f(x) = (5r - 6)3
f'(x) = 3(5r-6)2
f'(x) = 5(r - 6)2
f'(x) = 15(5r - 6)2
f'(x) = 2(5r-6)3
45s - Q10
What is the second derivative of f(x) = 3x2
f"(x) = 6
f"(x) = 6x
f"(x) = 3x
f'(x) = 6
30s - Q11
What is the derivative of f(x) = cos(x)
f'(x) = sin(x)
f'(x) = -sin(x)
f'(x) = cos(x) csc(x)
f'(x) = -cos(x)
30s - Q12
What is the second derivative of f(x) = cos(x)
f"(x) = -sin(x)
f"(x) = cos(x) csc(x)
f"(x) = -cos(x)
f"(x) = sin(x)
30s - Q13
What is the derivative of f(x) = (7x)(3x+4)
f'(x) = 21x + 28
f'(x) = 28x + 21
f'(x) = 21x2 + 21x + 28
f'(x) = 42x + 28
45s - Q14
What is the second derivative of f(x) = (7x)(3x+4)
f"(x) = 21x2 + 21x + 28
f"(x) = 42x + 28
f"(x) = 21x + 28
f"(x) = 42
45s - Q15
Which of the following is the Product Rule definition?
f(x) g'(x) - f'(x) g(x)
f(x) g'(x) - f'(x) g(x) /(g(x))2
f(x) g'(x) + f'(x) g(x) /(g(x))2
f(x) g'(x) + f'(x) g(x)
30s