AB Derivatives Review

Front

What is the derivative of f(x) = tan(x)cos(x)?

Back

f'(x) = sec²(x)cos(x) - tan(x)sin(x)

Front

Derive y = (x + 2)/(x - 3).

Back

((x - 3) - (x + 2))/(x - 3)²

Front

What is the derivative of sin(x)?

Back

cos(x)

Front

What is the derivative of tan(x)?

Back

sec²(x)

Front

Which of the following is not a correct notation for 'derivative'?

Back

dy

Front

What is the product rule for derivatives?

Back

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

Front

What is the quotient rule for derivatives?

Back

If u and v are functions of x, then (u/v)' = (u'v - uv')/v².

Front

What is the chain rule for derivatives?

Back

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

Front

What is the derivative of cos(x)?

Back

-sin(x)

Front

What is the derivative of e^x?

Back

e^x