BASIC CALCULUS FINAL EXAM

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30 questions

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- Q1The process of finding the derivative is called.DerivativesIntegralIntegrationDifferentiation120s
- Q2The function that gives the general formula for the slope f and is denoted by f' (read as "f prime") is called.IntegrationDerivativesDifferentiationIntegral120s
- Q3If f(x) = c, then f(x)=0.Constant Multiple RuleSum RuleConstant RulePower Rule120s
- Q4120s
- Q5If f(x) = k * h(x), then f(x) = k * the derivative of h(x).Sum and Difference RulePower RuleConstant Multiple RuleConstant Rule120s
- Q6If 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 RuleProduct RuleQuotient RuleSum Rule120s
- Q7If 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 RuleProduct RuleQuotient RuleDifference Rule120s
- Q8If f(x) = (uv), then udv + vdu.Product RuleQuotient RuleSum RuleDifference Rule120s
- Q9120s
- Q10If 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 DifferentiationHigher - Order DerivativesChain RuleAntiderivative120s
- Q11A 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 DifferentiationHigher - Order DerivativesChain RuleAntiderivative120s
- Q12The process involves differentiating each term of an equation on both sides, including those that contain the variable y.Chain RuleAntiderivativeImplicit DifferentiationHigher - Order Derivatives120s
- Q13The derivative of sin u-sin u du-csc^2 u ducos u dusec^2 u du120s
- Q14The derivative of cos u-csc^2 u dusec^2 u du-sin u dusec^2 u du120s
- Q15120s
- Q16120s
- Q17The derivative of csc u-sin u du-csc u cot u du-csc^2 u dusec^2 u du120s
- Q18The derivative of sec u-csc^2 u dusec u tan u du-sin u dusec^2 u du120s
- Q19The inverse of differentiation or the process of finding the antiderivatives.AntidifferentiationIntegrationDerivativesDifferentiation120s
- Q20The symbol ∫, denotes the operation of antidiffrentiation.EpsilonIntegrandIntegral SignSummation Notation120s