Calculus Derivative Review #2

Find the derivative of the given equation

g(x) = 6 + ⅔x

• 6

• 12

• 6 + ⅔

• ⅔

Find the derivative of the given equation

f(x) = 1/x²

• 1/2x

• -2x

• 2x

• -2x^-3

Solve f '(2) for

f(x) = x² + 2x

• 2x + 2

• 6

• 12

• 2x

What is the derivative of cos(x)?

• sin(x)

• cos(x)

• -sin(x)

• -cos(x)

Find the derivative.

• x⁴ cosx - 4x³sinx

• x⁴ cosx + 4x³sinx

• 4x³cosx

• -4x³cosx

The derivative of

• y'=2x-x^-2

• y'=x^-1+8x

• y'=x^-2+8x

• y=8x-x^-2

The derivative of

• y'=2x-x^-2

• y'=x^-1+8x

• y'=x^-2+8x

• y=8x-x^-2

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

What is f'(x) if f(x) = cos(5x⁴)?

• f'(x) = sin(20x³)

• f'(x) = 20x³ sin(5x⁴)

• f'(x) = -sin(20x³)

• f'(x) = -20x³ sin(5x⁴)

Find dy/dx by Implicit Differentiation 
x³ +y³  = 36

• 6 -x
• 3x² +3y² 
• −x²/y²
• 0