## WilsonWorla Group Title find all points on the curve y=x^3-3X where the tangent is parallel to the x-axis. one year ago one year ago

1. lailaiwd Group Title

this should be intuitive because tangent parallel to the x-axis implies that its value is 0. And then you find the prime of y, and set it to 0

2. mukushla Group Title

tangent is parallel to the x-axis so its slope equals to 0. on the other hand slope of tangent line|dw:1349077584783:dw| equals to derivative of function at the given point

3. Fellowroot Group Title

|dw:1349077683740:dw|

4. prawal Group Title

find the first derivative... = 3x^2 -3=0 so at x= +1 , -1 the slope of tanget is zero..

5. prawal Group Title

the points r (1,-2),(-1,2)

6. Fellowroot Group Title
7. prawal Group Title

hmm its correct and mine answer too ..

8. hartnn Group Title

@WilsonWorla Hi, $$\huge \color{red}{\text{Welcome to Open Study}}\ddot\smile$$ Are you following the explanation, if doubts feel free to ask them.

9. godfreysown Group Title

See attached screen shot of my answer, done in Geogegebra