Product Rue and Quotient Rule Questions

same as last week just give me a step by step work on each problem with verbal explanation,

Thanks

1. By using the Product Rue, determine the derivatives of:
a) f(x) = (2×3 – 3x + 4)(1+Vx), b) g(x) = (1 + 2x)(x – 7).
2. Use the Quotient Rule to find the derivatives of:
Зu2-11и+2
x²+4
x3
a) f(u)
=
b) g(x)
=
c) h(x) =
1
,
U-13
x2-4
X+1
3. Apply the Chain Rule, to find f'(x) and h'(w) for the functions
f(x) = (2x – x2)5 and h(w) = (2-4)?
4. Use an appropriate way to differentiate the functions:
f(x)
=
1+e 2x
1-e2x
and g(x) = (x + 1)3 In 2x.
5. Determine the second derivative of the functions:
f(x) = e*(x2 – x + 1) and h(u) = (2u3 + 1) Inu.