AP Calculus Midterm Review

Front

Find the second derivative of the function: f(x) = 2x - 5x^6

Back

f''(x) = -150x^4

Front

What is the derivative of sin(x)?

Back

cos(x)

Front

What is the limit of a function?

Back

The limit of a function is the value that the function approaches as the input approaches a certain point.

Front

What is the derivative of cos(x)?

Back

-sin(x)

Front

What is the derivative of tan(x)?

Back

sec^2(x)

Front

What is the derivative of e^x?

Back

e^x

Front

What is the Fundamental Theorem of Calculus?

Back

It states that differentiation and integration are inverse processes.

Front

What is the product rule for derivatives?

Back

If u and v are functions, then (uv)' = u'v + uv'.

Front

What is the quotient rule for derivatives?

Back

If u and v are functions, then (u/v)' = (u'v - uv')/v^2.

Front

What is the chain rule for derivatives?

Back

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