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What's on the worksheet
- Each function is one-to-one on the domain shown (all real numbers when none is shown).f(x) = x^5 + 2x - 1, b = 2f(x) = \dfrac{x^3}{x^2 + 1}, b = \dfrac{8}{5}f(x) = 4x + \sin(\pi x), b = 4f(x) = \sqrt{x^3 + 8} for x \geq -2, b = 4
- Let $f
- Yuna is downloading a large game file.
- Let $f
- Let $f
- The table gives values of a one-to-one differentiable function f.
- The graph of a function f on [-5, 4] is made of three straight pieces joined at the dots.
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The free lesson teaches it with worked examples and practice problems.
Derivatives of inverse functions: the lesson ›More Chapter 4 worksheets: Chain rule, implicit differentiation and inverse functions
- 4.1The chain rule
- 4.2Implicit differentiation
- 4.3Derivatives of logarithms and logarithmic differentiation
- 4.4Derivatives of inverse functions
- 4.5Derivatives of inverse trigonometric functions
- 4.6Combining differentiation rules