Problem 6 The specific form of a function is given as Y 10

Problem 6

The specific form of a function is given as: Y = 10 + 5X

What is the derivative of Y with respect to X,   dY/dX = ?

(Use the table below)

Problem 7

The specific form of a function is given as: Y = 10 + 5X +3X²

What is the derivative of Y with respect to X,   dY/dX = ?

(Use the table below)

The Derivative Table

Students are not expected to remember derivative formula and should utilize the following tale to solve problems 6 and 7

Function               Derivative

Y = a + bX                        dY/dX = b

Y = a + bX + cX² dY/dX = b + 2cX

Solution

Problem 6: dy/dx=5

Problem7:dy/dx=5+2.3x=2+6x