Equation of tangent at a point (y - y0 = f'(x0)(x - x0))

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y - y0 = f'(x0)(x - x0)

What each symbol means

SymbolWhat it stands for
x_0Point of contact (x-coordinate)
y_0f(x_0)
f'(x_0)Slope of tangent

When to use this

f differentiable at x_0 with finite f'(x_0). If slope infinite, use x = x_0.