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Chapter 07 practice bank

100 questions:
Calculus

Solve on paper first. Reveal only the final answer when you want to check yourself. There are no worked solutions in this bank by design.

34 easy 33 medium 33 advanced

EasyLimitssingle-variable-calculus-001

Evaluate lim x→1 (3x²−2x+1).

EasyPower rulesingle-variable-calculus-002

Differentiate f(x)=3x^3.

EasyAverage ratesingle-variable-calculus-003

Find the average rate of change of x² on [3,5].

EasyDefinite integralssingle-variable-calculus-004

Evaluate ∫₀^4 8x dx.

EasyAntiderivativessingle-variable-calculus-005

Find ∫x^5 dx.

EasyGeometric seriessingle-variable-calculus-006

Find the infinite sum 7+7/2+7/4+⋯.

EasyRemovable limitssingle-variable-calculus-007

Evaluate lim x→8 (x²−64)/(x−8).

EasyChain rulesingle-variable-calculus-008

Differentiate (5x+3)².

EasyLinear derivativessingle-variable-calculus-009

If f(x)=4x+2, find f′(x).

EasyAccumulationsingle-variable-calculus-010

A tank fills at a constant 3 L/min for 4 min. What is ∫ rate dt?