Question

find the derivative of the inverse of a function y equals to 2 x raised to cube minus 6 x and calculate its value at x = -2​

Answer 1

Step-by-step explanation:

Given find the derivative of the inverse of a function y = 2x^3 – 6x

• Differentiating with respect to x we get
•          So dy / dx = d/dx (2x^3 – 6x)
•                            = 2 x 3x^2 – 6
•                            = 6x^2 – 6
• we need to find the value of x at x = -2. So we get
•              dy / dx at x = - 2 = 6 (-2)^2 – 6
•                                           = 24 – 6
•                                           = 18
• Now we need to find the derivative of the inverse, so we have
•                dx / dy  = 1 / dy / dx
•                            = 1 / 18

Reference link will be

https://brainly.in/question/18253410