Mastering Basic Derivative Rules

Why is it important to learn the basic rules of derivatives before moving on to more complex rules?

• They are not important.

• They provide a foundation for understanding more complex rules.

• They are the only rules needed in calculus.

• They are easier to memorize.

What is the purpose of the derivative operator?

• To find the square root of a function.

• To take the derivative of a function.

• To multiply two functions.

• To add two functions.

How does the derivative operator compare to the square root operator?

• Both are used to divide numbers.

• Both are used to perform specific operations on numbers or functions.

• Both are used to multiply numbers.

• Both are used to add numbers.

What is the derivative of a constant?

• The constant multiplied by x.

• One.

• Zero.

• The constant itself.

What happens when you take the derivative of a single x?

• It becomes one.

• It becomes x.

• It becomes x squared.

• It becomes zero.

How do you handle the derivative of a constant multiplied by a function?

• Ignore the constant.

• Subtract the constant from the function.

• Move the constant out in front of the derivative operator.

• Add the constant to the function.

What is the derivative of e^x?

• e^x.

• e^(x-1).

• Zero.

• x*e^x.

What is the derivative of the function f(x) = 5 times the square root of 2?

• 5 times the square root of 2 times x.

• One.

• Zero.

• 5 times the square root of 2.

What is the derivative of the function f(x) = 3 + x?

• Zero.

• One.

• x.

• 3.

What is the derivative of the function f(x) = 3e^x - 4x?

• 3e^x - 4x.

• 3e^x - 4.

• 3e^(x-1) - 4.

• 3e^x + 4.