Questions
The number of points on the curve
at which tangent is parallel to x-axis
a
4
b
3
c
2
d
1
detailed solution
Correct option is C
The given curve is y=x3-3xDifferentiate both sides with respect to xdydx=3x2-33x2-3=0, since the slope of the tangent parallel to x - axis is zero. x2=1 x=±1At two points tangents to the given curve are parallel to x - axisTalk to our academic expert!
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The curve y= ax3+ bx2+cx + 5 touches the x-axis at P(-2, 0) and cuts the y-axis at a point Q where its gradient is 3, then the value of -10 a- 100b+ 1000 c must be
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