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BASIC CALCULUS FINAL EXAM

Quiz by Stephanie Diasnes

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30 questions
Show answers
  • 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

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