ENGLISH 45B- Final Exam Guide - Comprehensive Notes for the exam ( 29 pages long!)
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Chain rule: find the derivative of f (x) = cos3( 1. 3x+1 ): find the derivative of f (x) = x5 cos(3x), find the derivative of psin(2x), find the derivative of sin( x), find the derivative of cot(3x2). Inverse functions: find the derivative of arccot(x), find the derivative of arcsin(x), let f (x) = xex and let g be the inverse function of f . Given that f (1) = e, nd g (e): let f (x) = x5 + 4x3 and let g be the inverse function of f . Given that f (1) = 5, nd g (5): let f (x) = x5 + x + 1 and let g be the inverse function of f . Find the derivative of g at (3, 1). Implicit di erentiation: find the derivative of the function y2(6 x) = x3 at (3, 3), find dy dx given that 1 y + 1 x2 = 1, let y2 = x2(x 1).
