Q. 44.0( 9 Votes )

Differentiate the following functions:

(i) 6x5 + 4x3 – 3x2 + 2x – 7

(ii)

(iii) ax3 + bx2 + cx + d, where a, b, c, d are constants

Answer :

(i) 6x5 + 4x3 – 3x2 + 2x – 7


Formula:-


= n


Differentiating with respect to x,


6x5 + 4x3 – 3x2 + 2x – 730x5-1 + 12x3-1 – 6x2-1 + 2x1-1 + 0


= 30x4 + 12x2 – 6x1 + 2x


(ii)


Formula:-


= n


Differentiating with respect to x,



=


=


(iii) ax3 + bx2 + cx + d, where a, b, c, d are constants


Formula:-


= n


Differentiating with respect to x,


ax3 + bx2 + cx + d) = 3ax3-1 + 2bx2-1 + c + d×0


= 3ax2 + 2bx + c


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