the point on curve y=6x-x-²,where the tangent is parallel to x-axis is..
Answers
Answered by
3
Step-by-step explanation:
please please please mark as Brainlliest please mark as Brainlliest if helpful bye bye
Attachments:
Answered by
1
Given:
The equation of the curve, y=6x-x²
To find:
The point on the curve where the tangent is parallel to the x-axis
Calculation:
As the tangent is parallel to the x-axis, the slope of the tangent at that point will be zero
=> m = 0
=> dy/dx = 0
=> 6 - 2x = 0
=> 2x = 6
=> x = 3
=> y = 6x-x²
=> y = 6(3) - 3²
=> y = 18 - 9
=> y = 9
The point on the curve is (3,9)
Similar questions