You are Here: Home >< Maths

# Help! stuck on a differentiation q watch

1. Hi,

For the life of me, I can't work this q out. It's from the differentiation chapter in C1 and I have come to a serious brain blockage. Can any of you help me because this question is irritating the hell out of me.

The normal to the curve y = x to the power of 1/2 + x to the power of 1/3 at the point (1,2) meets the axes at (h,0) and (0,k). Find h and k.

sorry I'm not quite sure how to insert the symbols etc.

Thanks a lot
2. (Original post by yapster)
Hi,

For the life of me, I can't work this q out. It's from the differentiation chapter in C1 and I have come to a serious brain blockage. Can any of you help me because this question is irritating the hell out of me.

The normal to the curve y = x to the power of 1/2 + x to the power of 1/3 at the point (1,2) meets the axes at (h,0) and (0,k). Find h and k.

sorry I'm not quite sure how to insert the symbols etc.

Thanks a lot

y = x1/2+x1/3
dy/dx=(1/2)x-1/2+(1/3)x-2/3
At x=1
dy/dx=1/2+1/3

y-y1=m(x-x1)
y-2=-6/5(x-1)
5y-10=-6x+6
5y+6x-16=0

Meets axes at (h,0) and (0,k)

5y+6x-16=0
When x=h y=0
6h-16=0
6h=16
h=16/6

When x=0 y=k
5y-16=0
5y=16
y=16/5
3. ^ thanks so much!

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: November 16, 2005
Today on TSR

### University open days

• Southampton Solent University
Sun, 18 Nov '18
Wed, 21 Nov '18
• Buckinghamshire New University
Wed, 21 Nov '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams