MATH 165 Midterm: MATH 165 Iowa State MidtermPracticeProblemsFall2016

• School: Iowa State University
• Department: Mathematics
• Course: MATH 165
• Professor: All

Document Summary

We can nd the derivative of the inverse of a function, even if we can"t nd the inverse! Example: for f(x) = e2 x 4x + 10, let g(x) = f 1(x). Example: suppose that h(x) = f(x)g(x) is an invertible differentiable function. Further suppose that we know the following information: x=0 x=3 x=7 x=11 x=16 f(x) Find the tangent line to the curve y = h 1(x) at x = 16. Find max/min of continuous function, f(x), on a 6 x 6 b by evaluating f at all critical points. Example: find the absolute minimum and absolute maximum of h(s) = 2s3 + 3s2 12s 18 for. Example: find the absolute minimum and absolute maximum of g(t) = (t 3)et (3/2)t(t 4) for. Example: find all in ection points of y = x8/3 8x5/3. Example: for g(x) = 4x5 5x4 40x3 + 137, nd the maximal interval(s) where the function is increasing and decreasing.