BC Calculus AP Exam 1b 2024 part 2

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What is implicit differentiation?

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Implicit differentiation is a technique used to differentiate equations that define y implicitly in terms of x, rather than explicitly as y = f(x). It involves differentiating both sides of the equation with respect to x and applying the chain rule.

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What is related rates in calculus?

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Related rates are used to find the rate at which one quantity changes with respect to another quantity. It involves using implicit differentiation to relate the rates of change of different variables.

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If a ladder is sliding away from a wall, how do you find the rate at which it slides down?

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Use related rates. Set up a relationship between the height of the ladder on the wall, the distance from the wall, and the length of the ladder. Differentiate with respect to time.

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What does it mean for a series to converge?

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A series converges if the sum of its terms approaches a finite limit as the number of terms increases.

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What does it mean for a series to diverge?

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A series diverges if the sum of its terms does not approach a finite limit as the number of terms increases.

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Evaluate the limit: @@ ext{lim}_{h ightarrow 0} rac{5(x+h)^2 - 5x^2}{h}@@

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What is the power rule for differentiation?

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What is the chain rule in differentiation?

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