Ifi

This page lists questions and answers that were posted by visitors named Ifi.

Questions

The following questions were asked by visitors named Ifi.

How to d/dx y= (9+((x-9)/6)^1/5)^1/2 ? Hope u can give me the way how to calculate it. ^^ I got 1/60 ((x-9)/6) ^ (-9/10), i think my answer is wrong because i check at wolfram website the ans is differrent from mine (sorry i didn't write the ans bcus the...

dx/dy cos x sin y + x^5 = 11 i got dx/dy= (-cos x cos y)/ (-sin x sin y +5x^4) But the wolfram got (1- cos x cos y)/(5x^4-sin y sin x), where is the 1 come from?

Let f(t)=2t^4-2x^2-9. at what x does f have a local or absolute minimum or maximum? I think the question is wrong bcus it is impossible to to have 2 unknown to find the relative max or min...right? Sorry if im wrong. So i change it to f(x)=2x^4-2x^2-9 so...

If f(1)=-2 & f'(x)_< 1.8 for 1_< x_< 8, what is the largest possible value of f(8)? Can someone help me on this question and plz provid me some calculation for this question.

Calculate dy/dx, (x^3)(y^7) + 16xy^6=0 My ans is (y(-16-3x^2y))/ x(96+7x^2y) but at wolfram is y^6(3x^2y+16). Btw i use product rule to dy/dx. Need someone to recheck my ans.

find the intervals of increase and decrease of f(x)=3/(x*2+11) -1 ? My f'(x) is-6x/(x^2+1)^2, after that i didn't know how to proceed next bcus i didn't know how to find x to substitute in the f'(x).

Let f(x) be the parabola -x^2+16x-16. find the point (x,y) on f such that tangent line to f at (x,y) passes through the origin. My ans is (8,48). First i do f'x then i find x and lastly i find y. I do this because the max/min point is the point where tang...

Differentiate f(x)= (8-2x)^3(x^2+1)^5. My ans is 2(8-2x)^2(x^2+1)^4(-3x^2-10x+37). Plz recheck my simplify ans. -my simplify ans is not the same as wolfram but the long ans is same with wolfram-

How to differentiate e^e^x? Ans at wolfram is e^(x+e^x). I need the calculation method.

How to differentiate f(x)=e^(xlnx)? I get f'(x)=e^(xlnx) (1+lnx) while at wolfram is x^x(ln x+x)...sorry for my miscalculation / typo error...

Differentiate y=4^(3x^2).. i need to know the calculation step..thanks for the help....

Differentiate ln (1+ cos x)... My ans is (-sin x)/ (1+cos x), but at wolfram is -tan (x/2). I think they simplify it but how did they do it? Sorry for my little knowlegde....

If f(x)=3x^2-5x, find the f'(2) & use it to find an equation of tangent line to the parabola y=3x^2-5x at the point (2,2). My ans is f'(2)=7 & y=7x-12. What is parabola exactly? & is the any possibility if the eqtn of f(x) is not the same with parabola eq...

Given table, X (1+x)^(1/x) -0.5. 4 -0.1 2.8680 -0.01 2.7320 -0.001 2.7196 0.001 2.7169 0.01 2.7048 0.1 2.5937 0 5 2.25 From the table, show that lim x->infinity (1+x)^(1/x)=e. Plz someone show me the step how to show it based on the table. Hope u can read...

1. If -1/infinity = infinity or -infinity ? 2. If lim x->infinity^- = infinity & lim x->inifinity^+ = -infinity, then lim x->infinity = does not exist. Am i right? If im wrong please tell me the reason why?

Answers

The following answers were posted by visitors named Ifi.

thanks for the calculation but i think there is a mistake at implicit diff. y^2= 9 + ((x-9)/6)^(1/5) 2y dy/dx = 1/5 ((x-9)/6)^(-4/5)) (1/6) dy/dx = 1/60y ((x-9)/6)^(-4/5) ..... Sorryif im wrong Btw why at wolfram the answer is 1/( 60y(-9+y^2)^4). Why is t...

At reiny .... Thanks

I still don't get it how do u simplify from = (8-2x)^2 (x^2+1)^4 (26x^2 - 80x + 6) to = -8(4-x)^2 (x^2+1)^4 (13x^2 - 40x + 3) ... ? What can i conclude from it is (4-x)^2 &(13x^2 - 40x + 3) is divided by 2 . Then (x^2+1)^4 is not simplified by any no. Las...