Chain rule with natural log: derivative of ln(x^2-3x+5). #shorts

Chain rule with natural log: derivative of ln(x^2-3x+5).

To differentiate ln(x^2-3x+5), we recognize it as a function composition with a natural log as the outer function and a polynomial as the inner function. We differentiate with respect to the inner function, giving us 1/(x^2-3x+5), then the chain rule requires us to tack on the derivative of the interior function 2x-3. We express the final answer as a single fraction, and we're done!