Derivative Rules Review

What is the derivative of ax?

• a
• x
• 1
• 0

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Find the derivative of y = 2x² (3x - 4)

• 6x³ - 8x²
• 18x² - 16x
• 15x² - 6x
• 6x - 4

Find y' if y=e^3x

• e^3x
• e^2x
• 0
• 3e^3x

Tags

CCSS.HSF.BF.B.5

Find the derivative
f(t) = (t² + 2t)⁵

• f'(t) = 5(2t+2)⁴
• f'(t) = 5(t² + 2t)⁴
•  f'(t) = 5(t² + 2t)⁴(2t)
• f'(t) = 5(t² + 2t)⁴(2t + 2)

You are given a table containing some values of differentiable functions [eval(f,x)], [eval(g,x)] and their derivatives. Use the table data and the rules of differentiation to solve each problem.
If  $h\left(x\right)=f\left(x\right).g\left(x\right)$  Find $h'\left(1\right)$  

•  $\frac{3}{2}$  

•  $2$  

•  $\frac{-1}{2}$  

•  $-3$  

You are given a table containing some values of differentiable functions [eval(f,x)], [eval(g,x)] and their derivatives. Use the table data and the rules of differentiation to solve each problem.
If  $h\left(x\right)=f\left(x\right)-g\left(x\right)$  Find $h'\left(4\right)$  

•  $\frac{3}{2}$  

•  $\frac{-3}{2}$  

•  $\frac{-1}{2}$  

•  $-3$  

You are given a table containing some values of differentiable functions [eval(f,x)], [eval(g,x)] and their derivatives. Use the table data and the rules of differentiation to solve each problem.
If  $h\left(x\right)=\frac{f\left(x\right)}{g\left(x\right)}$  Find $h'\left(4\right)$  

•  $0$  

•  $2$  

•  $\frac{5}{6}$  

•  $-3$