HW_3_6_mod - y = ln e-x xe-x y = 10 Differentiate the...

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Student Name: Sections 3.6 (Due: Monday, 10/08) Description : This homework will help you understand the technique of logarithmic differentiation. Show all work to get full credit. 1) Differentiate the function: f ( x ) = sin( 5 ln x ) . f '( x ) = 2) Differentiate the function: f ( x ) = ln( 2 sin 2 x ) . f '( x ) = 3) Differentiate the function: f ( x ) = log 3 ( xe x ) . f '( x ) = 4) Differentiate the function: . f '( x ) = 5) Differentiate the function: . f '( x ) = 6) Differentiate the function: f ( x ) = sin ( x ) ln( 2 x ) . f '( x ) = 7) Differentiate the function: F ( y ) = y ln( 4 + e y ) . F '( y ) = 8) Differentiate the function: y = ln | 6 - x - 5 x 2 | . y ' = 9) Differentiate the function:
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Unformatted text preview: y = ln( e-x + xe-x ) . y ' = 10) Differentiate the function: . y ' = 11) Differentiate the following function and find the domain of f :. f '( x ) = Domain of f = 12) Differentiate f ( x ) = ln( x 2- 6 x ) . Then find the domain of f . f '( x ) = Domain of f = 13) If f ( x ) = ln(1 + e 9 x ), find f '(0) = 14) Find equations of the tangent lines to the curve at the points: 15) Use logarithmic differentiation to find the derivative of the function y = x cos x . y ' = 16) Use logarithmic differentiation to find the derivative of the function . y ' =...
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