Find the points on the curve y = x4 − 14x2 + 6 where the tangent line is horizontal.

The points on the curve are , and .

Step-by-step explanation:

Step1

For horizontal tangent, derivative of the function and equate to zero.

Given

Equation of curve is given as follows:

Step2

Calculation:

Derivate the function with respect to x and equate to zero as follows:

Now,

And,

Therefore, the values of are .

Step3

Substitute the values of in the equation as follows:

For ,

Therefore, the point is .

For ,

Therefore, the point is .

For ,

Therefore, the point is .

6 spoons of sugar for every 21 cups of flour

step-by-step explanation:

yes they are the same