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Question

The equation of the tangent to the curve y=x+4x2 , that is parallel to the xāˆ’axis, is

A
y=1
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B
y=2
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C
y=3
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D
y=0
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Solution

The correct option is C y=3
y=x+4x2

dydx=18x3

Since, tangent is parallel to x-axis i.e. dydx=0

0=18x3

x3=8

x=2

substitute in the equation of the curve

y=2+422=2+44=2+1

y=3
.
Equation of tangent is given as

y3=0(x2) [slope-point form]

y3=0

Hence, option 'C' is correct.

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