Calculus Concepts Flashcard Deck

\frac{d}{dx}[f(g(x))] = f'(g(x)) \times g'(x)

Question 1

What is the derivative of x^2?

Accepted Answer

2x

Question 2

What is the power rule for derivatives?

Accepted Answer

\frac{d}{dx}[x^n] = nx^{n-1}

Question 3

What is the fundamental theorem of calculus?

Accepted Answer

Links differentiation and integration as inverse operations

Question 4

What is the derivative of \sin(x)?

Accepted Answer

\cos(x)

Question 5

What is \int x \, dx?

Accepted Answer

\frac{x^2}{2} + C

Question 6

What is the derivative of \cos(x)?

Accepted Answer

-\sin(x)

Question 7

What is the product rule?

Accepted Answer

\frac{d}{dx}[f(x)g(x)] = f'(x)g(x) + f(x)g'(x)

Question 8

What is \int \sin(x) \, dx?

Accepted Answer

-\cos(x) + C

Question 9

What is the chain rule?

Accepted Answer

\frac{d}{dx}[f(g(x))] = f'(g(x)) 	imes g'(x)

Question 10

What is the derivative of e^x?

Accepted Answer

e^x

Calculus Concepts