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

Solution: 12x+ 3

Working:

General differentiation formular:  d/dx (ax) = an(xn-1

So we multiply the coefficient (constant infront) of the x term by the power of x (in this case: n) and reduce the power by 1.

d/dx (4x3 + 3x +2) = d/dx (4x3) + d/dx(3x) + d/dx(2)

                              = 43x3-1 + 31x1-1 + 0

                              = 12x2 + 3

Note: for the second term in the expression, x can be written x1 and also x0 = 1. This is true for any value to the power of zero.

Notation: 3*4 = 3 times 4 =12

Answered by Tutor77028 D. Maths tutor

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