Functions and Their Derivatives

Find the derivative of  f(x) = (x⁶ + 4)⁵

• f '(x) = 5x⁵(x⁴ + 4)⁴

• f '(x) = 6x⁵(x⁶ + 4)⁴

• f '(x) = 30x⁵(x⁶ + 4)⁴

• f '(x) = 30x⁶(x⁶ + 4)⁴

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x

• 3x + 2x 

• 3x + 2x + 3

• x³ + x² 

What is the derivative of tan(x)?

• -sec²(x)

• -csc²(x)

• sec²(x)

• csc²(x)

Find the derivative of f(x) = x²sinx

• f'(x) = 2xsinx - x²cosx

• f'(x) = 2xsinx + x²sinx

• f'(x) = 2xsinx + x²cosx

• f'(x) = 2xcosx

Find the derivative of g(x)=(3x-2)/(x²+2)

• 9x²+2

• 3(x²+2)/(x²+2)²

• (-3x²+4x +6)/(x²+2)²

• (-3x²+10)/(x²+2)²

Find the derivative of f(x)=(x³-2x)²

• 6x⁵ - 12x³+8x

• 6x⁵ - 16x³+8x

• x⁶-4x⁴+4x²

• 6x⁵ - 16x^3-8x

• A

• B

• C

• D

What is the derivative of f?

• 1/(x - 1)^-1

• -1/(x - 1)^-2

• -1/(x - 1)

• -1/(x - 1)²

Find the derivative f(x) = tanxcosx

• f'(x) = sec²xcosx - tanxsinx

• f'(x) = sec²xcosx + tanxsinx

• f'(x) = sec²xsinx

• f'(x) = sec²xcosx - tanxcosx

What is the derivative of cos(x)?

• -cos(x)

• sin(x)

• cos(x)

• -sinx