Question

differentiate Y = 12x5 + 3x4 + 7x3 + x2

Answer 1

Step-by-step explanation:

y = 12x5 + 3x4 + 7x3 + x2 − 9x + 6

This problem is simply a polynomial which can be solved with a combination of Sum and Difference Rule, Multiple Rule and basic derivatives.

dy by dx = d by dx12x5 + d by dx3x4 + d by dx7x3 + d by dxx2 − d by dx9x + d by dx6 by Sum and Difference Rule

dy by dx = 12d by dxx5 + 3d by dxx4 + 7d by dxx3 + d by dxx2 − 9d by dxx + d by dx6 by Multiple Rule

dy by dx = 12(5x4) + 3(4x3) + 7(3x2) + 2x − 9 + 0 by basic derivatives

dy by dx= 60 x4 + 12 x3 + 21 x2 + 2x − 9 by simplifying