Question
Transcribed Text
1. If
π(π₯) = π5π₯
Find the 8th derivativeπ(8)
(π₯).
(Hint: Find πβ²
(π₯), πβ²β²
(π₯),etc. and look for a pattern)
π(8)
(π₯) =?
2. Find the slope of the tangent line to the graph of the function
π(π₯) = π₯ππ₯
At π₯ = 3 correct to two decimal places.
The slope is:?
3. Find the derivative with respect to x of
π(π₯) = (π₯ + 5)π8π₯+9.
πβ²
(π₯) =?
4. If
π(π₯) = ln(π₯4 + 1)
Find πβ²(7), correct to at least four decimal places.
πβ²
(7) =?
5. If
π(π₯) = ln(ln(x))
Find πβ²(3), correct to at least four decimal places
πβ²
(3) =?
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