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Back to Derivatives of inverse functions

Activity 2.6.2

Avg difficulty 2.5

For each function given below, find its derivative.

  1. h(x)=x2ln⁡(x)h(x) = x^2\ln(x)

  2. p(t)=ln⁡(t)et+1p(t) = \frac{\ln(t)}{e^t + 1}

  3. s(y)=ln⁡(cos⁡(y)+2)s(y) = \ln(\cos(y) + 2)

  4. z(x)=tan⁡(ln⁡(x))z(x) = \tan(\ln(x))

  5. m(z)=ln⁡(ln⁡(z))m(z) = \ln(\ln(z))

Boelkins, Active Calculus, §2.6 Derivatives of inverse functions, Activity 2.6.2

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Adapted from Active Calculus © 2012–2025 Matthew Boelkins. Licensed under CC BY-SA 4.0. Source: Active Calculus. Imported at revision dc86ba3.