Find the equation of the tangent to the curve y=x^2 + 7+1 which makes an angle of 45° with X-axis
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Answer:
y=x-8
Step-by-step explanation:
given curve y=x²+7x+1
given that required tangent makes 45⁰ with x axis
therefore dy/dx=1
2x+7=1
2x=-6
x=-3
substitute x=-3 in the given curve
y=-11
therefore the required tangent is in the form
y=x+c where c is constant
substitute (-3,-11) in the line
c=-8
the required equation of tangent is
y=x-8
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