Tarea 1: Derivatives of Polynomial Functions

Find the derivative of the function f(x) = 3x^2 + 5x - 2.

• 3x^2 - 5x - 2

• 6x + 5

• 3x^2 + 5x + 2

• 6x - 5

Calculate the derivative of the function g(x) = 4x^3 - 2x^2 + 7x + 1.

• 12x^2 - 4x + 7

• 12x^2 - 4x - 1

• 12x^2 + 4x + 7

• 12x^2 - 4x - 7

Determine the derivative of the function h(x) = 2x^4 + 3x^3 - 6x^2 + 2x + 1.

• 8x^3 + 9x^2 - 12x + 2

• 8x^3 + 9x^2 - 12x + 4

• 8x^3 + 9x^2 - 12x + 1

• 8x^3 + 9x^2 - 12x + 3

Find the derivative of the function f(x) = x^5 + 2x^4 - 3x^3 + 4x^2 - 5x + 6.

• 5x^4 + 8x^3 - 9x^2 + 8x + 6

• 5x^4 + 8x^3 - 9x^2 + 8x - 6

• 5x^4 + 8x^3 - 9x^2 + 8x - 5

• 5x^4 + 8x^3 - 9x^2 + 8x + 5

Calculate the derivative of the function g(x) = 5x^6 - 4x^5 + 3x^4 - 2x^3 + x^2.

• 35x^5 - 24x^4 + 15x^3 - 8x^2 + 3x

• 30x^5 - 20x^4 + 12x^3 - 6x^2 + 2x

• 25x^5 - 16x^4 + 9x^3 - 4x^2 + x

• 30x^5 - 20x^4 + 12x^3 - 6x^2 + 2

Determine the derivative of the function h(x) = 2x^3 + 4x^2 - 6x + 8.

• 6x^2 - 8x - 6

• 6x^2 + 8x + 6

• 6x^2 + 8x - 6

• 6x^2 + 8x + 6x

Find the derivative of the function f(x) = 6x^4 - 5x^3 + 4x^2 - 3x + 2.

• 24x^3 - 15x^2 + 8x + 3

• 24x^3 - 15x^2 + 8x - 2

• 24x^3 - 15x^2 + 8x + 2

• 24x^3 - 15x^2 + 8x - 3

Calculate the derivative of the function g(x) = 3x^5 + 2x^4 - x^3 + 4x^2 - 5x + 6.

• 15x^4 + 8x^3 - 3x^2 + 8x - 4

• 15x^4 + 8x^3 - 3x^2 + 8x - 6

• 15x^4 + 8x^3 - 3x^2 + 8x - 5

• 15x^4 + 8x^3 - 3x^2 + 8x - 7

Determine the derivative of the function h(x) = 4x^6 - 3x^5 + 2x^4 - x^3 + 5x^2.

• 28x^5 - 18x^4 + 10x^3 - 4x^2 + 12x

• 20x^5 - 12x^4 + 6x^3 - 2x^2 + 5x

• 24x^5 - 15x^4 + 8x^3 - 3x^2 + 10x^2

• 24x^5 - 15x^4 + 8x^3 - 3x^2 + 10x

Find the derivative of the function f(x) = 5x^3 + 4x^2 - 3x + 2.

• 15x^2 + 8x + 3

• 15x^2 + 8x + 2

• 15x^2 + 8x - 2

• 15x^2 + 8x - 3