Question

Find the slope of tangent to the curve y= x2 - 2x + 1 at (0,1)
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Answer 1

Answer:

Differentiating the equation of the curve with respect to x, we get

dx

dy

​

=2x−2

Since the tangent line is parallel to 2x−y+9=0,

dx

dy

​

=slope of the straight line=2

⇒2x−2=2

⇒x=2

Substituting x=2 in the equation of the curve, we get y=7

Hence, equation of tangent at (2,7) with slope 2 is

y−7=2(x−2)

⇒2x−y+3=0

Step-by-step explanation:

Answer 2

2x-2

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