Differential Calculus

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What is the derivative of a constant?

The derivative of a constant is zero.

What is the Power Rule in calculus?

The Power Rule states that the derivative of x^n is n*x^(n-1).

What is a critical point in a function?

A critical point is where the derivative is zero or undefined.

What is the Chain Rule in calculus?

The Chain Rule is used to differentiate composite functions.

What is an inflection point?

An inflection point is where a function changes concavity.


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1. What is the derivative of a constant?

The derivative of a constant is the constant itself.

The derivative of a constant is zero.

The derivative of a constant is one.

The derivative of a constant is undefined.

2. What is the Power Rule in calculus?

The Power Rule states that the derivative of x^2 is always zero.

The Power Rule is used to find the second derivative.

The Power Rule states that the derivative of a constant is zero.

The Power Rule states that the derivative of x^n is n*x^(n-1).

3. What is a critical point in a function?

A critical point is where the second derivative is zero.

A critical point is where the derivative is zero or undefined.

A critical point is where the function has a horizontal asymptote.

A critical point is the same as an inflection point.

4. What is the Chain Rule in calculus?

The Chain Rule is used to differentiate composite functions.

The Chain Rule states that the second derivative of x^n is n*x^(n-2).

The Chain Rule is used only for polynomial functions.

The Chain Rule involves integration of variables.

5. What is an inflection point?

An inflection point is where the function has a local minimum.

An inflection point is where a function changes concavity.

An inflection point occurs when the first derivative is zero.

An inflection point is the absolute maximum of a function.