14.02.2018 Views

CLASS_11_MATHS_SOLUTIONS_NCERT

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Class XI Chapter 13 – Limits and Derivatives Maths<br />

______________________________________________________________________________<br />

<br />

cx daax dc<br />

2<br />

cx<br />

d<br />

acx ad acx bc<br />

<br />

2<br />

cx d<br />

<br />

<br />

<br />

ad bc<br />

cx d<br />

<br />

2<br />

<br />

Question 6:<br />

Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s<br />

1<br />

1<br />

are fixed nonzero constants and m and n are integers): x<br />

1<br />

1<br />

x<br />

Solution 6:<br />

1 x 1<br />

1<br />

1<br />

Let <br />

x x x <br />

f x ,where x 0<br />

1 x 1 1<br />

x 1<br />

x x<br />

By quotient rule,<br />

d<br />

d<br />

x 1 x 1 x 1 x<br />

1<br />

f ' x<br />

dx<br />

dx , x 0,1<br />

2<br />

x-1<br />

<br />

x<strong>11</strong> x<strong>11</strong><br />

2<br />

x-1<br />

= , x 0,1<br />

x1 x1 <br />

2 , x 0,1<br />

x-1<br />

<br />

<br />

2<br />

= , x 0,1<br />

2<br />

x-1<br />

<br />

<br />

<br />

Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a<br />

Top tutor.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!