implicit differentiation

If the position function for a particle is s(t) = -t² - t, what is the expression for the instantaneous velocity for the particle? 

• v(t) = -2
• v(t) -2t - 1 
• v(t) = t³
• v(t) = -t

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

• 7
• 0
• 7x
• 14

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

• 1/2x
• -2x
• 2x
• -2x^-3

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing

The derivative of a function is its

• Sign
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

• -3
• 8
• 0
• 9

Find f '(x) if f(x) = x⁴sinx

• 4x³cosx
• x⁴cosx
• x⁴cosx + 4x³sinx
• -x⁴cosx + 4x³sinx

Find dy/dx if y = sec(8x²).

• sec(16x)tan(16x)
• 16xcos(8x²)
• 16xsecxtanx(8x²)
• 16xsec(8x²)tan(8x²)

Find dy/dx by Implicit Differentiation
xy = 6

• -x/ y
• -y/ x
• -6y/ x
• y/x