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Differentiate with respect to x: (3x^2 – x + 1)^4

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Differentiate with respect to x:

(3x2 – x + 1)4

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Chain rule:

If y = f(t) and t = g(x) then dy/dx = dy/dt x dt/dx

d/dx (3x2 – x + 1)4 = 4(3x2 – x + 1)3 * d/dx (3x2 – x + 1)

= 4(3x2 – x + 1)3 * (6x – 1)

= 4(3x2 – x + 1)3 (6x – 1)

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