Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Differentiate it as earlier as possible and explain it briefly

Differentiate it as earlier as possible and explain it briefly

Question Image
Grade:12

1 Answers

Monoxdifly
28 Points
2 years ago
First, thing first, change the rationalize the expression:
\frac{\sqrt{a^2+x^2}+\sqrt{a^2-x^2}}{\sqrt{a^2+x^2}-\sqrt{a^2-x^2}}\times\frac{\sqrt{a^2+x^2}-\sqrt{a^2-x^2}}{\sqrt{a^2+x^2}-\sqrt{a^2-x^2}}=\frac{(\sqrt{a^2+x^2}-\sqrt{a^2-x^2})^2}{a^2+x^2-(a^2-x^2)}=\frac{a^2+x^2+2(a^4-x^4)+a^2-x^2}{2x^2}=\frac{2a^2+2(a^4-x^4)}{2x^2}=\frac{a^2+a^4-x^4}{x^2}=a^2x^{-2}+a^4x^{-4}-x^2
Now, differentiate it and you get...............................................................................................................................
-2a^2x^{-1}+(-2)a^4x^{-1}-2x=-\frac{2a^2}{x}-2\frac{a^4}{x}-2x=-\frac{2(a^2+a^4+x^2)}{x}

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free