Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at any point (x,y) .
1 answer:
Answer:
Slope of a tangent to the curve = 
Step-by-step explanation:
Given - y = 1/x+1
To find - Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at any point (x,y) .
Proof -
We know that,
Slope of tangent line = f'(x) = 
We have,
f(x) = y = 
So,
f(x+h) = 
Now,
Slope = f'(x)
And

∴ we get
Slope of a tangent to the curve = 
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