2 Find the derivative of the algebraic function f(v)= v2- v+8 O 112+6v+2v² (v+8)2 O 112- 32v-2v² (v+8)² O 112+32v+2v² (v+8)? O 112- 32v+2v² (v+8)²

Q: How can you sometimes graph the derivative of a function when all you have is a table of the…

A: We can draw the graph of derivative of a function using the values given to us in table of of the…

Q: xy2+5x2-3y2+45=0  (1,5)   Evaluate the derivative at the given function point.

A: We have to find derivative

Q: -4 (3x² + 5x) 52

A: Using derivatives property we  can find derivatives of y

Q: Use the derivative to explain why the function f(x) = x³ + x³ is a one to one %3D function.

A:

Q: 4 f(x) = Vx*+2 %3D x*-2

A:

Q: Explain the relationship between the slope and the derivative of ƒ(x) at x = a.

A: Given function is  fx at x=a

Q: Original Function Rewrite Differentiate 1 5x4 y = == Simplify

A: Solution is given below:

Q: 6. 1+x* f (x) = 1 + x3

A:

Q: What do the derivatives of a function tell you about the shape of its graph?

A: If the first derivative is positive, then the graph increases. If the first derivative is negative,…