Thank you for registering.

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

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

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

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

⇐ BackProceed to Checkout ⇒
There are no items in this cart.
Continue Shopping

Find the value of `a` for which the function f(x)=cos(x)-sin(x)+a(x)+b is decreasing.

Find the value of `a` for which the function f(x)=cos(x)-sin(x)+a(x)+b is decreasing.

Grade:12

1 Answers

Sunil Raikwar
askIITians Faculty 45 Points
7 years ago
we know that f(x) is decreasing for all real values of x if f'(x)<0
f'(x)=-cosx-sinx+a<0
a<sinx+cosx
minimum value of sinx+cosx is -root2
so a should be less than -root2

Thanks & Regards
Sunil Raikwar
askIITians Faculty


Think You Can Provide A Better Answer ?

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

Other Related Questions on Integral Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Register ICAT

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More