1. Given f(x)=1/x+12, find the average rate of change of f(x) on the interval [3,3+h]. Your answer will be an expression involving h.
2. Given g(x)=2/x-3, evaluate and simplify: g(1+h)-g(1)/h
3. Use the product rule to find the derivative of (-3x^10+8x^9)(7e^x-7) (you dont need to expand the answer)
4.If f(x) = 7x+8/4x+5 find f(x) and f(5)
5.if f(x)= 5x^2+3x+6/√x then find f(x) and f(2)
6. Given that
f(x)=x^5h(x)
h(-1)=2
h(-1)= 5
Calculate f(-1)
7. Let f(x)= x/x+5.Find the values of x where f'(x)=4 What is the greater solution is x=?, lesser solution is x=?