Question $7$

Use the appropraite differentiation techniques to determine the $f^l(x)$ of the following functions $($simplify your answer as far as possible$)$:

$7\mathrm{.}1f(x)=(x^3-2x^2+5)(x^4-3x^2+2).$

$7\mathrm{.}2f(x)=(\frac{x-1}{x^4}{)}^{\frac{1}{2}}.$

$(4)$

$7\mathrm{.}3f(x)=(x^2-1)(\frac{x^3+3x^2}{x^2+2}).$

Question $8$

Differentiate the following with respect to the independent variables:

$8\mathrm{.}1y=ln|2t+3|+ln{t}^t.$

$8\mathrm{.}2g(t)=2^{ln2t}+ln{e}^{2t}.$

$[$TOTAL: $55]$