Calculus Derivatives and Notation

Front

What is the derivative of ln(x)?

Back

1/x

Front

Back

Front

What is the definition of a derivative?

Back

The derivative of a function measures how the function's output value changes as its input value changes.

Front

What is the power rule for derivatives?

Back

Front

What is the product rule for derivatives?

Back

Front

What is the quotient rule for derivatives?

Back

Front

When is a function increasing?

Back

A function is increasing when its derivative is positive.

Front

When is a function decreasing?

Back

A function is decreasing when its derivative is negative.

Front

What does it mean if the second derivative is positive?

Back

If the second derivative is positive, the function is concave up.

Front

What does it mean if the second derivative is negative?

Back

If the second derivative is negative, the function is concave down.