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We first find the slope of the tangent for which we need derivative of f(x). Differentiating f(x) w.r.t. x we get:
Now, slope is the value of f’(x) at the given point x = 1.
Now, to find any one point on the tangent line, we consider the fact that tangent line is drawn at x=1. This point also lies on the curve and hence its y-coordinate is the value of f(x) at x=1. We get:
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