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.