Calculus Honors Test Review - Intro to Derivative Rules and Apps

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 y' for y= (2x+1)¹⁰

• 10(2x+1)⁹

• 20(2x-1)⁹

• 20(2x+1)¹⁰

• 20(2x+1)⁹

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Derivative means the same thing as

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

If the position of a particle is represented by s(t) = -t² + 1, what is its position at t = 1? 

• Position = 0
• Position = 1
• Position = 2
• Position = -1 

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

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

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

• Velocity = 0
• Velocity = 1
• Velocity = -1
• Velocity = -2

The acceleration function is the first derivative of...

• position
• velocity
• calculus
• particle motion

The position function x(t)=7t²-18t-7 is given. What is the velocity function?

• v(t)=14t-18
• v(t)=14t+18
• v(t)=18t-14
• v(t)=18t+14
  

The position function x(t)=t³+6t²+16t-18 is given on the interval of 0<x<9. What is the velocity at t=6?

• 197
• 190
• 18
• 196