Calculating Derivatives of Functions

The video tutorial covers differentiating polynomials, starting with basic techniques and moving to more complex examples. It emphasizes the importance of expanding brackets and simplifying rational functions before differentiation. The tutorial provides step-by-step guidance on handling various polynomial forms, ensuring learners understand the process of bringing down powers and adjusting terms.

What is the first step in differentiating a polynomial?

• Divide the coefficient by the power

• Bring the power down and subtract one

• Multiply the coefficient by the power

• Add one to the power

When differentiating x^8, what does it become?

• 8x^9

• 8x^7

• x^8

• 7x^8

What is the derivative of a constant term?

• The constant itself

• Zero

• The constant times x

• One

What is the result of differentiating a term with a power of one?

• The term itself

• Zero

• The coefficient of the term

• The term with power two

What is the derivative of x^3?

• x^3

• 3x^3

• x^2

• 3x^2

What is the derivative of 7x^2?

• 7x

• 14x

• 7x^2

• 14x^2

What is the derivative of 4x^5?

• 20x^4

• 4x^5

• 4x^4

• 20x^5

What is the derivative of 6x^4?

• 6x^4

• 24x^4

• 6x^3

• 24x^3

What is the derivative of 2x^6?

• 12x^5

• 2x^5

• 2x^6

• 12x^6

What is the derivative of 8x^7?

• 56x^6

• 8x^6

• 56x^7

• 8x^7