derivatives

If the position of a particle is represented by x(t) = -t² + 1, what is its instantaneous velocity at t = 1? (plug 1 into the derivative)

• v = 0

• v = 1

• v = -1

• v = -2

• A
• B
• C
• D

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Find the derivative of the given equation
f(x) = -4x

• 4
• x
• -4
• 0

Find the derivative of the given equation

f(x)=12-8x

• -8x

• -8s

• -8

• 12 - 8

Find the derivative of the given equation
f(x) = x⁴ 

• x³ 
• 4x
• 4x³
• x⁴

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

• 1 - 2x
• -2x
• -2
• -1

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) =  $\frac{1}{x^2}$  Hint: rewrite with a negative exponent

• f'(x) = 1/2x

• f'(x) = -2x^-3

• f'(x) = 2x

• f'(x) = -2x

Differentiate y =  $\frac{12}{x^2}$  

• y' = 24x^-1

• y' = -24x^-3

• y' = -24x^-1

• y' = 6x^-3