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Question
Differentiate the following with respect to x.
3x4 – 2x3 + x + 8
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Solution
Let y = 3x4 – 2x3 + x + 8
`"dy"/"dx" = "d"/"dx" (3x^4) - "d"/"dx" (2x^3) + "d"/"dx" (x) + "d"/"dx"(8)`
`= 3"d"/"dx" (x^4) - 2"d"/"dx" (x^3) + 1 + 0`
`= 3(4 * x^(4 - 1)) - 2(3x^(3-1)) + 1`
= 12x3 - 6x2 + 1
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