i need the answer in a computer form \"typed\" thank you You may print out this

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i need the answer in a computer form "typed" thank you

You may print out this problem set using your browser's print feature, work on the problems at your leisure, and submit your answers later if you want (when printed the problems may include extra space for you to do your work). You may also save your work without it being graded using the "Save" button at the bottom of the page (this requires your password). Once you submit your answers for grading, you will need to go through the online homework home page to obtain new problems. If you go back and correct the answers to the old problems and try to resubmit them, the grading software will catch you. You may attempt this problem set as many times as you want. You will receive whatever your best score is over all your attempts. Differentiate f (x) = 8cos(3x2 - 3x - 1). F1(x) = Differentiate f (x) = 3sin(2x2 + 4x - 3). f'(x) = Differentiate f (x) = (9sin(x))2 + 1. f'(x) = Your answer to problem 1 should be entered as a decimal. Your answers to problems 2-5 should be entered as functions of x in the space provided (don't forget to include an arbitrary constant C for indefinite integrals). You should use ln(abs(x)) and NOT ln|x|. We don't use | | for absolute value in the computer for reasons that are explained in the frequently asked questions section of the detailed instructions about the parser (see the link in the standard paragraph about entering functions below). Using ln(2) = .693, ln(3) = 1.099, ln(a)=2.58, and ln(b)=2.1, compute the following. (Note that your answer must be computed using the given values and entered to three decimal places.) (a) ln(8 / a5) = | | (b) In (a4 /b5)= Differentiate f (x) = ln| V( (x + 2) / (10x2 - 8x + 3) ) | f'(x) = Differentiate f (x) = ln| (x2 + 5x + 8) / (7x + 1) | f'(x) =

Explanation / Answer

1) -8*(6x-3)* sin(3x^2-3x-1)

2) 3*(4x+4)cos(2x^2+4x-3)

3) 2*9^2*sin(x)cos(x) = 81sin(2x)

1)

(a) ln(8/a^5) = ln(2^3)-ln(a^5) = 3ln(2)-5ln(a) = 3*0.693-5*2.58 = -10.821

(b) ln(a^4/b^5) = 4ln(a)-5ln(b) = 4*2.58-5*2.1=-0.18

2) f(x) = 1/2 ln( |x+2| ) -ln(|10x^2-8x+3|)

f'(x) = 1/2*(1/(x+2) -(20x-8)/(10x^2-8x+3)) = -(10x^2+40x-19)/(2(x+2)(10x^2-8x+3))

3) f'(x) = (2x+5)/(x^2+5x+8) -7/(7x+1) = (7x^2+2x-51)/((7x+1)(x^2+5x+8))

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