Pad 11:43 PM 80% . . webwork.daltonstate.net WeBWorK sp18-Math2253 Section_2.6 8

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Pad 11:43 PM 80% . . webwork.daltonstate.net WeBWorK sp18-Math2253 Section_2.6 8 Mathway Math Problem Solver Logged in as afisher6. MATHEMATICAL ASSOCIATION OF AMERICA Log Out C WeBWorK Kwebwork/ sp18-math2253 section 2.6/8 MAIN MENU Courses Section 2.6: Problem 8 Homework Sets Section Previous Problem Problem List Next Problem 2.6 Probl 8 (1 point) Let f(x) sin(x)). Find f'(2) f'(2) = User Settings Grades Preview My Answers Submit Answers Problems You have attempted this problem 0 times You have unlimited attempts remaining Problem1 Email instructor Problem 2 Problem3 Problem4 Problem5 Problem6 Problem7 Problem 8 Problem9 Problem 10 Page generated at 03/05/2018 at 11:41pm EST WeBWorK © 1996-2017] theme: math4 I ww-version: WeBWorK-2.13] pg-version PG-2.13] The WeBWorK Project

Explanation / Answer

f(x)=3e^(xln(sinx))

f'(x)=3ln(sinx)sinx^x(ln(sinx))'

=3ln(sinx)sinx^x(1/sinx)cosx

=3tanxln(sinx)sinx^x

f'(2)=3tan(2) ln(sin(2))sin(2)^2

=0.51

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