Exit Ticket Calculus Derivatives for Grade 12

What is the derivative of f(x) = x^5 using the Power Rule?

• x^4

• 5*x^4

• 5*x^3

• 4*x^5

Apply the Power Rule: Find the derivative of f(x) = 3x^4.

• 12x^2

• 3x^3

• 12x^3

• 9x^4

Using the Sum Rule, find the derivative of f(x) = x^3 + 2x^2 + x.

• 4x^3 + 2x + 1

• 3x^2 + 2x + 2

• 3x^2 + 4x + 1

• 2x^2 + 3x + 1

What is the derivative of f(x) = 5x^2 + 3x using the Sum Rule?

• 10x + 5

• 10x + 3

• 5x + 3

• 10x^2 + 3x

Find the derivative of f(x) = x^6 + x^2 - 4 using the Power Rule.

• 6*x^5 + 2*x

• x^5 + 2

• 6*x^6 + 2*x^2

• 6*x^5 + 4

Using the Difference Rule, find the derivative of f(x) = x^4 - 2x^3.

• 8x^3 - 2x

• 3x^2 - 4x

• 4x^3 - 6x^2

• 4x^3 + 6x^2

What is the derivative of f(x) = 7x^3 - 5x + 2 using the Difference Rule?

• 21x^3 - 5

• 21x^2 - 5

• 21x^2 + 5

• 7x^2 - 5x + 2

Find the second derivative of f(x) = x^3 using the Power Rule.

• x^3

• 12x^2

• 3x^2

• 6x

What is the third derivative of f(x) = 4x^5?

• 20x^4

• 240x^2

• 120x^3

• 100x^2

Using the Power Rule, find the derivative of f(x) = 2x^7 - 3x^4 + x.

• 14x^5 - 12x^4 + 1

• 2x^6 - 3x^3 + 1

• 14x^6 - 12x^2 + 3

• 14x^6 - 12x^3 + 1