Math 180 Final Exam ReviewFind the derivative of y with respect to x, t, orΌ, as appropriate.
1)Find the derivative of y with respect to the independent variable.
2)Find the indicated tangent line.3)Find the tangent line to the graph of f(x)=e3xat the point (0, 1).3)Use logarithmic differentiation to find the derivative of y.
4)Find the derivative of y with respect to x.5)
5)Solve the problem.6)A company knows that the unit cost C and the unit revenue R from the production andsale of x units are related by C=R2134,000+8437. Find the rate of change of unit revenuewhen the unit cost is changing by $11/unit and the unit revenue is $4000.6)Find the absolute extreme values of the function on the interval.
7)Find the extreme values of the function and where they occur.
8)Find the largest open interval where the function is changing as requested.