If y=2x^3+5x-7 find:

Question

If y=2x³+5x-7 find:

a) The rate of change of y with respect to x at [2,19]

b) What is the point of tangency if the rate of change is increased by 30

Answer 1

Remember the rate of change at a point is the same as the derivative dy/dx = y'(x).

For part (a) find y'(x) and evaluate at x =2.

For part (b), set the derivative y'(x) from (a) to the numerical value from (a) plus 30 and solve the equation.