Derivative

Find the fully simplified Derivative of y = 4x² + 3x + 6x^-2

• y' = 8x + 3 -12x^-3

• y' = 8x + 3 +12/x³

• y' = 8x + 3 -12/x³

• y' = 8x + 3 + 12/x

Find dy/dx for y = 4x³ + 3x + 1

• dy/dx = 4x² + 3

• dy/dx = 4x² + 3x

• dy/dx = 12x² + 3x

• dy/dx = 12x² + 3

At which point(s) will the slope(s) of the tangent line be POSITIVE?

• at C only

• at points A, C and E only

• at point B and D only

• at points A and E only

Find the derivative of the funtion. (hint: you will need to multiply first!)

• 4x⁸+60x⁶+12x³

• 12x⁷+36x²

• 32x⁷+36x²

• 20x⁶

Differentiate y = $\frac{2x^2+x-3}{x}$  

Hint:  Simplify first, then take the derivative.

• y = 2x + 1 - 3x^-1

• y' = 4x + 1 - 1x^-2

• y' = 2 + 3x^-2

• y' = 4x + 1 - 3x^-2

Differentiate y =  $\frac{12}{x^2}$  

• y' = 24x^-1

• y' = -24x^-3

• y' = -24x^-1

• y' = 6x^-3

Find the derivative of the given equation
f(x) =  $\frac{1}{x^2}$  Hint: rewrite with a negative exponent

• f'(x) = 1/2x

• f'(x) = -2x^-3

• f'(x) = 2x

• f'(x) = -2x

Find the derivative of the given equation
f(x) =  $\frac{1}{x^2}$  Hint: rewrite with a negative exponent

• f'(x) = 1/2x

• f'(x) = -2x^-3

• f'(x) = 2x

• f'(x) = -2x

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

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Find the derivative of the given equation
f(x) = 1 - x²

• 1 - 2x
• -2x
• -2
• -1