  BASIC CALCULUS FINAL EXAM

Quiz by Stephanie Diasnes

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Correct quiz answers unlock more play!  30 questions
• Q1
The process of finding the derivative is called.
Derivatives
Integral
Integration
Differentiation
120s
• Q2
The function that gives the general formula for the slope f and is denoted by f' (read as "f prime") is called.
Integration
Derivatives
Differentiation
Integral
120s
• Q3
If f(x) = c, then f(x)=0.
Constant Multiple Rule
Sum Rule
Constant Rule
Power Rule
120s
• Q4
120s
• Q5
If f(x) = k * h(x), then f(x) = k * the derivative of h(x).
Sum and Difference Rule
Power Rule
Constant Multiple Rule
Constant Rule
120s
• Q6
If f(x) = g(x) +h(x) where g and h are differentiable functions, then f(x) = the derivative of g(x) +the derivative of h(x).
Difference Rule
Product Rule
Quotient Rule
Sum Rule
120s
• Q7
If f(x) = g(x) - h(x) where g and h are differentiable functions, then f(x) = the derivative of g(x) - the derivative of h(x).
Sum Rule
Product Rule
Quotient Rule
Difference Rule
120s
• Q8
If f(x) = (uv), then udv + vdu.
Product Rule
Quotient Rule
Sum Rule
Difference Rule
120s
• Q9
120s
• Q10
If y is a differentiable function of u and u is a differentiable function of x, then y can be regarded as a function of x, and that dy/dx=dy/du (du/dx). That is, the derivative of y with respect to x is the derivative of y with respect to u multiplied by the derivative of u with respect to x.
Implicit Differentiation
Higher - Order Derivatives
Chain Rule
Antiderivative
120s
• Q11
A function that you can further compute the derivative of the derivative. Suppose that you start with a function f and compute its first derivative f’. You can still compute its second derivative f”, its third derivative f”’, and so on.
Implicit Differentiation
Higher - Order Derivatives
Chain Rule
Antiderivative
120s
• Q12
The process involves differentiating each term of an equation on both sides, including those that contain the variable y.
Chain Rule
Antiderivative
Implicit Differentiation
Higher - Order Derivatives
120s
• Q13
The derivative of sin u
-sin u du
-csc^2 u du
cos u du
sec^2 u du
120s
• Q14
The derivative of cos u
-csc^2 u du
sec^2 u du
-sin u du
sec^2 u du
120s
• Q15
120s
• Q16
120s
• Q17
The derivative of csc u
-sin u du
-csc u cot u du
-csc^2 u du
sec^2 u du
120s
• Q18
The derivative of sec u
-csc^2 u du
sec u tan u du
-sin u du
sec^2 u du
120s
• Q19
The inverse of differentiation or the process of finding the antiderivatives.
Antidifferentiation
Integration
Derivatives
Differentiation
120s
• Q20
The symbol ∫, denotes the operation of antidiffrentiation.
Epsilon
Integrand
Integral Sign
Summation Notation
120s

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