Calculus Bowl 2

Front

Evaluate the limit: lim (x -> 3) (2x + 1)

Back

7

Front

What is the derivative of cot(x)?

Back

-csc^2(x)

Front

What is the derivative of cos(x)?

Back

-sin(x)

Front

Find f’(x) when f(x) = sin(4x + 5)

Back

4cos(4x + 5)

Front

What is the derivative of ln|x|?

Back

\frac{1}{|x|}

Front

What is the Fundamental Theorem of Calculus?

Back

It states that differentiation and integration are inverse processes.

Front

Define a limit in calculus.

Back

A limit is the value that a function approaches as the input approaches some value.

Front

What is the derivative of sin(x)?

Back

cos(x)

Front

What is the chain rule in differentiation?

Back

If y = f(g(x)), then dy/dx = f'(g(x)) * g'(x).

Front

What is the product rule in differentiation?

Back

If u and v are functions of x, then d(uv)/dx = u'v + uv'.