.done challenging questions of calcus in simple formula.

May 29th, 2016
Studypool Tutor
Harvard University
Price: $10 USD

Tutor description

done tough questions of calculus good for revision.

Word Count: 1464
Showing Page: 1/11
Running head: CALCULUS 1 ASSIGNMENTCALCULUSNAMEINSTITUTIONRunning head: CALCULUS 1 ASSIGNMENTQ .1AConverting it quotient and applying l hospitals rule,Limx2X - -e -xApplying l hospital rule,Lim2xX- -e -xLim 2X-2 =0e -xQ. BINDETERMINATE FORM 0/0Limpi/2- xXPi/2 cot xApplying L hospital ruleLim1Xpi/2 csc2xQ.1DLim sin x-xX0 X3Applying l hospitals rule,Limcos x -1X0 3x 2Limsin xX06xLimcos x = -1/6X06Running head: CALCULUS 1 ASSIGNMENTQ3.Find the derivative of the3 A.(Sin-1x)2 is same as arcsin2xf(x)= arcsin2x + pi^6 +6^xDifferentiate term by term,f(x ) = d/dx(arcsin2x) + d/dx(6^x) + d/dx(pi^6)f(x ) = 2arcsin(x)*d/dx(arcsin x)+ ln(6)*6^x +0f(x ) =2*(1/1-x 2)arcsinx + ln(6)*6^xf(x ) = 2sin-1x/ (1-x2) + ln(6)*6^x3B.F(x) = ln(x 3sinx)Using identity and differentiating,ln(ab) = lna + ln bf(x) = Ln x 3 + ln(sinx)f(x) = 1/x 3*3x 2 + cosx/ sinx, and simplifying,f(x) = 3/ x + cot x3cFACTOR OUT AND SIMPLIFYRunning head: CALCULUS 1 ASSIGNMENTLimx 2-1X-1x+1By l hospital rule, differentiate once, we getLimX-12x = -21Lim2x 2 + x-3 =-2X-1+The function f(x) is continuous at x=-1, since the left hand limit is equal to the right hand limit.Q4.dy/dx=1/3(2x 2 +4)-2/3*4xdy/dx=4/3x*(2x 2+4)at point x=2 then dy/dx=4/32*(2*(2(2) 2 +4)dy/dx=4/32*(2*2+4)= 4/3*2*8dy/dx=(32*2)/3equation of the tagent at the point (2,2) (x,y)y-2/x-2=

Review from student

Studypool Student
" Thanks for the help. "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1828 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors