Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 Help Me ! » HELP: with finding Point on the curve. » 2009-07-05 13:03:50

Gercel
Replies: 1

Hi I need help finding a point on the cuve y=x^3+2x+2
whose tangent line is parallel to the line 3x-y=2 ????
And is there more than one such point?

Please please, help me how to do it, and explain.

Thank you )

#2 Re: Help Me ! » Help FInd derivative of Trig Function » 2009-07-05 09:50:40

Wonderfull, Can you please explain how you got the answer.. please

#3 Help Me ! » What is the derivative of Exponential functions » 2009-07-05 08:13:26

Gercel
Replies: 1

What is the derivative of e^-x

I know that the derivative of e^x is just e^x

How to differentiate this equation:

2x-x²e^-x


Thank you all for your help.

#4 Re: Help Me ! » Help FInd derivative of Trig Function » 2009-07-05 07:31:25

First I found the derivative of the outside function Sin and Square root, by moving 1/2 to the front.. Then I did the derivatuve if the inside function 3x³+3x.
Isnt that how Chain rule should work?

#5 Help Me ! » Help FInd derivative of Trig Function » 2009-07-05 07:17:23

Gercel
Replies: 5

f(x)= sin √ 3x³+3x  (Note its a square root of full function  3x³+3x )

Thats how I solved it.

    f'(x)= Cos(3x³+3x)^½
          = Cos ½(3x³+3x)^-½ × (9x²+3)
          = 9x²+3Cos½ (3x^³+3x)^-½

Did I derive it right??? because solution at the back show that the answer is:

9x^2+3/2 root (3x^2+3x) cos Root (3x^3+3x)


Please Tell me if mines is right or wrong?

#7 Re: Help Me ! » HELP Find Derivative of a Trigonometric Function » 2009-07-05 05:01:35

One more question, when I do derivatives do I always have to put d/dx, dx/dy or I can simply put f '(x)  in front and do the derivative without d/dx or dy/dx

#8 Re: Help Me ! » HELP Find Derivative of a Trigonometric Function » 2009-07-05 04:54:01

hmm, what about
Sinx Secx
Sin x will be u                u'v+uv'
Sec x will be v               Cos x (Sec x) + Sin x (Sec x Tanx)
                              After that I dont know how yo simplified to   Tan x^2 +1 and got sec ^2 x

#9 Help Me ! » HELP Find Derivative of a Trigonometric Function » 2009-07-05 03:52:29

Gercel
Replies: 6

Hi,
I need to find a Derivative of a drigonometric function.

1.         F(x)= sin x sec x
  That how i did it:  f'(x)= Cos x Sec x Sec x Tan x Sin

But the answer shows f'(x)= Sec² x


         Question: Is mine wrong or is the answer wrong? Please explain how to do it.
Thank you)

Also, how to solve this type of derivative

1/Sec x Tan X

Can anybody solve it for me, please and explain.
Thank you

#10 Re: Help Me ! » HELP Find a Derivative of a Square Root Function » 2009-07-04 06:04:08

Thanks guys , appreciate your help....
Thanks x 2

#11 Re: Help Me ! » HELP Find a Derivative of a Square Root Function » 2009-07-03 11:19:02

If possible do you mind showing how you also got #3???

Thanks ^2

#12 Re: Help Me ! » HELP Find a Derivative of a Square Root Function » 2009-07-03 10:43:48

hmm, what about 2nd question, even though it is almost the same as the First one but you get √3/2√x ... can you please show me step by step how you got it. Please

Thanks)

#13 Re: Help Me ! » HELP Find a Derivative of a Square Root Function » 2009-07-03 10:20:57

Hi bobbym:

But  after (2x)^(1/2) = (1/2)(2x)^(-1/2) all those steps... I get 1x^1/2, How do you put it in the form of 1/√2x ??

#14 Re: Help Me ! » HELP Find a Derivative of a Square Root Function » 2009-07-03 10:15:25

As I understand. for the # 1

You did. 2x^½
             2(½)x^-½
             1x^-½
              ----After that I am not sure what you did?

#15 Re: Help Me ! » HELP Find a Derivative of a Square Root Function » 2009-07-03 10:03:54

oo thank you
But, can you please explain how you got that?

Thankx)

#16 Help Me ! » HELP Find a Derivative of a Square Root Function » 2009-07-03 09:36:18

Gercel
Replies: 17

What are Derivatives for
1.         Square Root 2x             ????
2.         Square Root 3x             ????
3.          2/Square root x            ????


Please help me state state a derivative for each of them

Also help me  to solve the following Equation using Product/Quotient Rule.
f(x)= 2x^2-3x-1/x^3


Thank you once again.

Board footer

Powered by FluxBB