Differentiate... Help please... (1 Viewer)

[Smile12345]

How do you differentiate √x/x ...

Thanks in advance for your help.

 

[ocatal]

x^(1/2)/x
By index laws:
1/x^(1/2)
Take it to the top and differentiate:
x^(-1/2)
-1/2 . x^(-3/2)
-1/2x^(3/2)
Hope that helps!

 

[ocatal]

You can also do it using the quotient rule (i.e. (u'v-v'u)/v^2) but that would require more simplifying.

 

[Smile12345]

x^(1/2)/x
By index laws:
1/x^(1/2)
Take it to the top and differentiate:
x^(-1/2)
-1/2 . x^(-3/2)
-1/2x^(3/2)
Hope that helps!

Thanks heaps! Sorry just beginning these...

How about - Find coordinates of Point S where the tangent to the curve y=x^2 +4x -1 is perpendicular to the line 4x + 2y + 7 = 0.

Thanks in advance.....

 

[asianese]

What is the gradient of 4x+2y+7=0? What would the gradient of the normal to this line be?

How do we get the tangent to a curve y=x^2+4x-1? Interperet this with the gradient of the normal

 

[HeroicPandas]

I should not spoonfeed

 

[Smile12345]

You can also do it using the quotient rule (i.e. (u'v-v'u)/v^2) but that would require more simplifying.

Thanks... I haven't learnt that yet!

 

[Smile12345]

What is the gradient of 4x+2y+7=0? -2 (y=-2x - 7/2)... I had done this...What would the gradient of the normal to this line be? 1/2

How do we get the tangent to a curve y=x^2+4x-1? I got y'= 2x +4.../COLOR]Interperet this with the gradient of the normal

Then G of N: -1/2

Thanks heaps... I've done this much..

 

[Smile12345]

I should not spoonfeed

I just need a few tips along the way...