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Power rule - Worksheet

Differentiate the following expressions with the help of the power rule:

`x^2 + 2x - 1`
`3x^5 - 1/2x^4 + 6x^2 - 5`
`3sqrt{t} + 2cbrt{t}`
`1/{sqrt(x)} + x^{10/3}`
`2x^-2 + x^-1 + 3x`
`10/x^2 + 1/x - 1/{sqrt{x}}`
To which of the following can the power rule not be applied? a)`e^x` b) `x` c) `1^x` d) `x^x`
`x^-5/{sqrt{x}} + 1/x^2`
`x^n + 1/x^n`
`5x^10/{sqrt{x}} - (1/10)x^(-12)`
`+ 5/(6x^(-1/5)) + 2x^3/{cbrt{x}}`

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