Derivatives of Polynomials

Find the derivative of f(x) = 3x^4 using the power rule.

• 9x^3

• 16x^3

• 6x^4

• 12x^3

Calculate the derivative of g(x) = 5x^3 - 2x^2 + 7x - 9 using the power rule.

• g'(x) = 5x^2 - 2x + 7

• g'(x) = 15x^4 - 4x^2 + 7x

• g'(x) = 25x^2 - 2x + 7

• g'(x) = 15x^2 - 4x + 7

Determine the derivative of h(x) = 2x^5 - 4x^3 + 6x^2 - 8x + 10 using the power rule.

• h'(x) = 8x^5 - 12x^3 + 12x^2 - 8x

• h'(x) = 10x^4 - 12x^2 + 12x - 8

• h'(x) = 10x^4 - 12x^2 + 6x - 8

• h'(x) = 10x^5 - 12x^3 + 12x^2 - 8x

Find the derivative of k(x) = 4x^6 - 3x^4 + 2x^2 - 5 using the power rule.

• k'(x) = 24x^4 - 12x^2 + 4

• k'(x) = 24x^6 - 12x^4 + 4x^2

• k'(x) = 20x^5 - 12x^3 + 4x

• k'(x) = 24x^5 - 12x^3 + 4x

Calculate the derivative of m(x) = 6x^7 - 5x^5 + 4x^3 - 3x using the power rule.

• 36x^6 - 25x^4 + 12x^2 - 3

• 42x^6 - 20x^4 + 8x^2 - 3

• 6x^8 - 5x^6 + 4x^4 - 3x

• 42x^6 - 25x^4 + 12x^2 - 3

Determine the derivative of n(x) = 7x^8 - 6x^6 + 5x^4 - 4x^2 + 2 using the power rule.

• n'(x) = 42x^7 - 30x^5 + 15x^3 - 8x

• n'(x) = 63x^7 - 42x^5 + 25x^3 - 12x

• n'(x) = 56x^7 - 36x^5 + 20x^3 - 8x

• n'(x) = 49x^6 - 30x^5 + 15x^3 - 4x

Find the derivative of p(x) = 8x^9 - 7x^7 + 6x^5 - 5x^3 + 4x using the power rule.

• 72x^8 - 49x^6 + 30x^4 - 15x^2 + 4

• 72x^7 - 49x^5 + 30x^3 - 15x + 4

• 64x^9 - 56x^7 + 48x^5 - 40x^3 + 4

• 16x^8 - 14x^6 + 12x^4 - 10x^2 + 4

Calculate the derivative of q(x) = 9x^10 - 8x^8 + 7x^6 - 6x^4 + 5x^2 - 2 using the power rule.

• 90x^9 - 64x^7 + 42x^5 - 24x^3 + 10x

• 85x^9 - 60x^7 + 40x^5 - 25x^3 + 10x

• 100x^9 - 72x^7 + 49x^5 - 30x^3 + 15x

• 81x^9 - 56x^7 + 35x^5 - 20x^3 + 5x

Determine the derivative of r(x) = 10x^11 - 9x^9 + 8x^7 - 7x^5 + 6x^3 - 3x using the power rule.

• 110x^10 - 81x^8 + 49x^6 - 35x^4 + 18x^2 - 3

• 110x^10 - 81x^8 + 56x^6 - 35x^4 + 18x^2 - 3

• 110x^10 - 72x^8 + 56x^6 - 35x^4 + 18x^2 - 3

• 100x^10 - 81x^8 + 56x^6 - 35x^4 + 18x^2 - 3

Find the derivative of s(x) = 11x^12 - 10x^10 + 9x^8 - 8x^6 + 7x^4 - 4x^2 + 1 using the power rule.

• s'(x) = 121x^11 - 100x^9 + 72x^7 - 48x^5 + 28x^3 - 8x

• s'(x) = 132x^11 - 100x^9 + 72x^7 - 48x^5 + 28x^3 - 8x

• s'(x) = 132x^10 - 100x^8 + 72x^6 - 48x^4 + 28x^2 - 8

• s'(x) = 143x^11 - 110x^9 + 82x^7 - 58x^5 + 38x^3 - 12x