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Find the derivative of the following equations. Question 1 Question 2 Question 3 Question 4 y= e^-5x(e^7x -e^9x + 2) y=10^Inx y= (ex+ 1/exx)/(ex -
Find the derivative of the following equations.
Question 1 Question 2 Question 3 Question 4 y= e^-5x(e^7x -e^9x + 2) y=10^Inx y= (ex+ 1/exx)/(ex - 1/e^x) y= x46 +x43 e^3Inx O 2e^2x - 4e^4x -10/e15x O 10^Inx/x O 1/(ex+1/e^x)^2 O 12x15 O 2e^2x- 4e^4x-10e^5x O 10^Inx In 10/> O ex/(e^x+1/e^x)^2 O 6x45 + 3x^2e43Inx + x43e43Inx(3) O 2e^2x+4e^4x-10e^5x O 10^x In 10 O 4/(ex+1/e^x)^2 O 6x15 O 2e^2x+4e^4x+10e^5x O In10 1/e^x/(ex+1/e^x)^2 3x^2e43Inx + x43e^3Inx(3) Question 5 Question 6 Question 7 Question 8 e^(x+y) =In(x/y) y = In(e^x x^2) y = log(12x)^1/6 y=e^(x +Inx) O x(1-xe^(x+y))/y(ye^(x+y))+1) O 1+2/x O loge/6x O ex+xe^x O y(1-xe^(x+y))/x(ye^(x+y)+1)) O 2+ 1/x O 1/6x O exx 0 1 O (x-2)/x O Ine/6x O e^2x O -1 O (x+1 ) /x O log 10/6x O 2ex Question 9 Question 10 Question 11 Question 12 y=In(In4x)) y=3x^4 +x^2 Ine^x^2 y=In(ex+e^-x) O 1/xIn4x xy=e^xy - 1 O 16x43 O (ex-1/e^x)/(exx+1/e^x) O 1/In4x O 1 O 12x43 +2xine^x^2 O (ye^xy -y)/(x- xe^xy) O (exx+1/e^x)/(ex-1/e^x) O 1/4x O 2xine^x^2 O 1/x O -y/x 0 1 O 16x^3+2xine^x^2 O (x- xe^xy)/(ye^xy -y) O exx+1/e^x Question 13 Question 14 Question 15 ex tely =e^(x+y) x43 ely^4 -y^2 elx43 = 100 O exx(ely-1)/ely(1-e^x) O (-3x^2 ely4 +3x42 y42 elx43)/(4x43 y43 ely^4 -2ye^x13) e^(5x-y) +In (5x-y) = 0 O eny(1-ex)/e^x(1-ely) O (4x43 y43 elyn4 -2y elx43)/(-3x^2 elyn4 +3x42y2e4x43) O -3/4 find and write the answer for y' 0 1 O -4/3 O -1 Question 16 Question 17 Question 18 y=Inx^3 + (Inx)43 y = In((e^2x-1)/(e^2x+1)) y=4In((1-x^2)/(1+x^2))^(1/2) Question 19 O 6/x O 4e^2x/(e^4x -1) 12x^2/(1-x^6) y = xb^ax/alnb O 3/X 16e^2x/(e^4x -1) O -12x^2/(1-x^6) O abx(bxIna+1)/bina 3/x + In^2x/x O 2e^2x/(e^4x-1) O -6x^2/(1-x^6) 3/x + 3(Inx)^2/x O brax(axlnb+1)/alnb O e^2x/(e^4x-1) O -15x^2/(1-x^6) O brax/alnb O bina Question 20 e^xy +In(xy) +10^xy = 0Step by Step Solution
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