Vault Of Euclid

Tangent Line to the Natural Logarithm at (1,0)

Logarithmic and exponential functions warmup

Find an equation of the tangent line to the curve \( y = \ln x \) at the point \( (1,0) \).

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What you need first

The derivative of the natural logarithm
The geometric interpretation of the derivative as the slope of the tangent line
The point-slope form of a linear equation

What this problem tests

Tests the ability to recall the derivative of ln(x), evaluate it at a point, and use the point-slope form to write a linear equation.

This is a standard introductory calculus problem testing the basic derivative of the natural logarithm and the concept of a tangent line.

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