Derivatives Memory Flashcard 2

Front

What is the limit definition of a derivative?

Back

Front

What is the derivative of ln(x)?

Back

Front

What is the derivative of arcsin(x)?

Back

Front

What is the derivative of arccos(x)?

Back

Front

What is the derivative of arccot(x)?

Back

Front

What does the derivative represent in calculus?

Back

The derivative represents the rate of change of a function with respect to a variable.

Front

What is the geometric interpretation of a derivative?

Back

The derivative at a point represents the slope of the tangent line to the curve at that point.

Front

What is the relationship between derivatives and instantaneous rates of change?

Back

The derivative gives the instantaneous rate of change of a function at a specific point.

Front

What is the power rule for differentiation?

Back

Front

What is the product rule for differentiation?

Back