Question

Student Full Name Score MAT141 Calculus1 Homework 4 - Chapter3 Homework assignments will only be accepted if work and answers are written on this form. If there is more than one page, staple them neatly together on very top left side of page. Follow all directions for each question. Use proper notation. Work is only needed and graded on questions with the instruction -"Show all work." Show this work in the space provided. dy 1. If y = 3x -' + x5, then what is dy f'(x) = 2. If f(x) = ex" - ex, then what is f'(x)? R16 = 3. If g(x) = 7e* +, then what is coming 4. Which function has horizontal tangent lines at x = 3 and x = 4? (a) y = 3x2 - 4x + 10 (b) y = x - x?- 12x + 3 (c)) y = x -2 + 12x + 3 (d) y = $x*- 3x? + 9x + 4 5. Find the value of constant k such that the line with equation y = x + 6 is tangent to the curve y = :kſi. k=

Answer 1

3 x ² + Las Sol" :-) y dy dx 5 3 d 3x t hits w Ś Blitos) q -ge ta dy x 4 984 dx - 133?) + 1**) = 3 ) + -32-33734} ++{8535"} i fel f(x) = extela f'(x) = a (ext_e4x) (ext) - (198) (ve 7) - 04 (1) = e{T & T-1} - et - effek g(x) = 728 + 2 de fe {Te + 2 } (723) + = 7 9 (el) + d doe dx Ff(x) = Text (3) se d of de d12 de 150 = 7el to (dg - 7ex da Constant hef

for question no 4 ,

option (c) is correct