Suppose g(x)=4x^2-lnx is the derivative of f(x). Compute Lim x->0 (f(x+1)-f(1)/x) Please show steps of arrival of the solution

An oil company models the income derived from the continuous production of oil as a continuous income stream using a function f(t), where f(t)=200e^−0.1t, in thousands of dollars per year, where t is in years. Calculate the total income derived from pumping oil after 3 years.   Give your answer in thousands of dollars to the nearest thousand dollars. Do not include commas or the dollar symbol in your answer.

F(x)=(9x^6+8x^3)^4 Find the derivative of the function

find the derivative g(x) = sqrt((x^2+2)/(x^2+4))