Find $\frac{dy}{dx}$ using implicit differentiation. Leave no negative exponents. no square root in denominator and simplify your answer fully.

$[3]$

a$)y^2+5x^2{y}^3+x^4=9$

Find $\frac{dy}{dx}$ using logarithmic differentiation. Leave no negative exponents. no square root in denominator and simplify your answer fully.

$[3]$

a$)y=\frac{(x^2+3{)}^5}{\sqrt[\phantom{2}]{x+1}}$