What is the derivative of $$\arcsin u$$ ?

$$\frac{1}{\sqrt{1-u^2}}\frac{du}{dx}$$

What is the power rule for differentiation?

If $$f(x) = x^n$$ , then $$f$$ .

What is the product rule for differentiation?

If $$y = u(x)v(x)$$ , then $$\frac{dy}{dx} = u$$ .

What is the quotient rule for differentiation?

If $$y = \frac{u(x)}{v(x)}$$ , then $$\frac{dy}{dx} = \frac{u$$ .

What is the chain rule for differentiation?

If $$y = f(g(x))$$ , then $$\frac{dy}{dx} = f$$ .

What is the second derivative?

The second derivative is the derivative of the derivative, denoted as $$f$$ .

What is an indefinite integral?

An indefinite integral represents a family of functions and includes a constant of integration, denoted as $$C$$ .

What is a definite integral?

A definite integral calculates the net area under a curve between two points, denoted as $$\int_a^b f(x)dx$$ .

Calculus AP Formulas Flashcards

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

Front

If y = f(x)/g(x), what is dy/dx?

Back

3.

FLASHCARD QUESTION

Front

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4.

FLASHCARD QUESTION

Front

What is the integral of a function f(x)?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the definition of a derivative?

Back

The derivative of a function at a point is the limit of the average rate of change of the function as the interval approaches zero.

7.

FLASHCARD QUESTION

Front

What is the Fundamental Theorem of Calculus?

Back

It states that differentiation and integration are inverse processes.

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