Derivative Rules With Tables

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 $h'\left(2\right)$  

•  $\frac{3}{2}$  

•  $\frac{-3}{2}$  

•  $\frac{-1}{2}$  

• 1

Tags

CCSS.HSA.SSE.A.1

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  $h\left(x\right)=f\left(x\right).g\left(x\right)$  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  $h\left(x\right)=\frac{f\left(x\right)}{g\left(x\right)}$  Find $h'\left(2\right)$  

•  $\frac{3}{2}$  

•  $2$  

•  $\frac{5}{6}$  

•  $-3$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.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 $h'\left(4\right)$  

•  $0$  

•  $2$  

•  $\frac{5}{6}$  

•  $-3$  

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 $h'\left(3\right)$  

•  $0$  

•  $2$  

•  $\frac{5}{6}$  

•  $-3$  

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 $h'\left(2\right)$  

•  $0$  

•  $2$  

•  $\frac{5}{2}$  

•  $-3$  

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 $h'\left(1\right)$  

•  $-1$  

•  $2$  

•  $\frac{5}{2}$  

•  $-3$