4.Find the following using the table below.

x 1 2 3 4

f(x) 3 2 1 4

f'(x) 4 3 1 2

g(x) 2 1 3 4

g'(x) 2 1 3 4

if h(x)=f(g(x)) then h'(2)=

5.use the chain rule to find the derivative of

f(x)=66x^10+9x^9

f'(x)=

6.f(x)=((6x^3+10)^2-36x^6)/7x^3. g(x) is an algebraic equivalent of f(x)

Evaluate lim x ((6x^3+10)^2 -36x^6)/7x^3

Enter the answer as a reduced fraction.

7.f(x)=8*x*(36*x^2+2-6*x). g(x) is an algebraic equivalent of f(x).

Evaluate lim x 8*x*(36*x^2+2-6*x)

Enter the answer as a reduced fraction.

8.f(x)=10(x^3/2 81x^3+4 -9x^3). g(x) is an algebraic equivalent of f(x)

Evaluate lim x 10(x^3/2 81x^3+4 -9x^3)

Enter the answer as a reduced fraction.

9.f(x)=x^2*(16*x^4+7 -4*x^2). g(x) is an algebraic equivalent of f(x)

Evaluate lim x x^2*(16*x^4+7 -4*x^2)

Enter the answer as a reduced fraction.