(i)

=

Formulae:

= n

- cosec²x

a^x = log_n(a)×a^x

Differentiating with respect to x,

= 4.3x^3-1 + 3.log_n(2).2^x + 6×- + 5 ×- cosec²x

= 12x² + 3.log_n(2).2^x -3 -5 cosec²x

(ii)

=

= n

a^x = log_n(a)×a^x

Differentiating with respect to x,

=

=