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Find the derivative of the function

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Reference no: EM131075267

MATH 16A WORKSHEET 11-

There are 5 problems (one on the back).

(1) Find the derivative of the function f(x) = xx. (Hint: x = eln x)

(2) Use logarithmic differentiation to find the derivative of f(x) = (x - 2)3(-3x - 1)4/(x2 - 2)5.

(3) Find f''(t) where f(t) = (ln t)2.

(4) Let f(x) = aex2-3x + b(x + 1)2. Find a and b if f(x) contains the point (0, 26) and the tangent line to f at this point has slope 17.

(5) Find all absolute minima and absolute maxima of the function

f(x) = x/x + ln x, defined on (1, ∞).

Reference no: EM131075267

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