If (sinx)y=(cosy)x ,prove that dydx=logcosy−ycotxlogsinx+xtany Video Solution Play Video Struggling With Differentiation? Get Allen’s Free Flashcards Free ALLEN Flashcards Text SolutionVerified by Experts We have, (sinx)y=(cosy)x Taking log on both sides, log(sinx)y=log(cosy)x ...
This question is related to vector and concept of differentiation is used. Answer and Explanation:1 ddxf(x)g(x)=g(x)ddxf(x)+f(x)ddxg(x) Using above formula, we... Learn more about this topic: Product Rule in Calculus | Overview, Equation...
To prove that ∫sec2xdx=tanx+C, we will follow a systematic approach using the relationship between differentiation and integration. 1. Start with the Left-Hand Side (LHS): LHS=∫sec2xdx 2. Recall the Derivative of tanx: We know from calculus that: ddx(tanx)=sec2x 3. Set Up the Inte...
If cosecx−sinx=a3and secx−cosx=b3;then what is the value of a2b2(a2 + b2)? Q. If sinx=a2-b2a2+b2, then the values of tan x, sec x and cosec x View More Related Videos Implicit Differentiation MATHEMATICS Watch in App Explore more Implicit Differentiation Standard XII Ma...
View Solution If(cosx)y=(tany)x, prove thatdydx=logtany+ytanxlogcosx−xsecycosecy View Solution Ify=sinx1+cosx1+sinx1+cosx1+..−→∞, prove thatdydx=(1+y)cosx+ysinx1+2y+cosx−sinx View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT...
RS AGGARWAL-DIFFERENTIATION-Exercise 10I Prove that (d)/(dx)(cos^(-1)x)=(1)/(sqrt(1-x^(2)), where x in [-1,1]. 01:52 If x=at^2 and y=2at then find the value of ((dy)/(dx))^2 01:11 Find (dy)/(dx), when x=acos theta, y=bsin theta 01:45 Find (dy)/(dx...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
Ify=(sec−1x)2, prove thatx2(x2−1)d2ydx2+x(2x2−1)dydx−2=0. View Solution Ify=etan−1x,prove that(1+x2)y2+(2x−1)y1=0 View Solution Ify=etan^((−1)x)),prove that(1+x2)y2+(2x−1)y1=0. View Solution ...
View Solution x=ex/y dydx=x−yxlogx View Solution Ifxy=ex−y,Prove thatdydx=logx(1+logx)2 View Solution Exams IIT JEE NEET UP Board Bihar Board CBSE Free Textbook Solutions KC Sinha Solutions for Maths Cengage Solutions for Maths ...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...