NZ Level 8 (NZC) Level 3 (NCEA) [In development]

Applications of differentiation (logs)

Consider the function $f\left(x\right)=\ln x$`f`(`x`)=`l``n``x`.

a

Determine the $x$`x` value of the $x$`x`-intercept.

b

Determine the equation of the tangent line to the curve at the point where it crosses the $x$`x`-axis.

c

Determine the equation of the normal line to the curve at the point where it crosses the $x$`x`-axis.

Easy

Approx 6 minutes

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Choose and apply a variety of differentiation, integration, and antidifferentiation techniques to functions and relations, using both analytical and numerical methods

Apply differentiation methods in solving problems