Quotient and chain rule

Differentiate y=(x^2+2)^3 using chain rule:

• 6x(x+2)^2

• 6x(x^2+2)^2

• 3x(x^2+2)^2

• 3x(x+2)^2

d/dx[tan x]

• sec^2x

• Cos^2x

• 1/sec^2x

• 1/tan^2x

Find the derivative of the function:

f(x) = (x^2 + 3x - 1) / (x - 4)

• f'(x) = (x^2 - 5x + 15) / (x - 4)^2

• f'(x) = (x^2 - 5x + 10) / (x - 4)^3

• f'(x) = (x^2 - 4x + 15) / (x - 4)^3

• f'(x) = (x^2 - 5x + 5) / (x - 4)^2

Find the derivative of the function:

h(x) = (4x^3 + 2)^5

• h'(x) = 60x^2(4x^3 + 2)^3

• h'(x) = 60x^2(3x^3 + 2)^3

• h'(x) = 60x^2(5x^3 + 2)^4

• h'(x) = 60x^2(4x^3 + 2)^4

Find the derivative of the function:

g(t) = sin(t^2) / (t + 1)

• g'(t) = (2t(t + 1)cos(t^2) - cos(t^2)) / (t + 1)^2

• g'(t) = (2t(t + 1)cos(t^2) - tan(t^2)) / (t + 1)^2

• g'(t) = (2t(t + 1)cos(t^2) - sin(t^2)) / (t + 1)^2

• g'(t) = (2t(t + 1)tan(t^2) - sin(t^2)) / (t + 1)^2