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Nice question, Maulik, I was searching the net for the same question and it's answer, here is what I understand, take example of derivative, derivative by definition is: (f(x+h) – f(x))/h here h can...

First method by expansion: B = lim(x -> 2) [tan(pi.x)/x-2] expand tan to 1 degree term .i.e pi.x B = lim(x -> 2) [(pi.x)/x-2] Now apply L-pital pi/1 Second method substitute x = 2 + h with h → 0 and...

Let y1 = x^tanx take log both sides and then differentiate, y1 w.r.t. x logy1 = tanx(log(x)) (1/y1).dy1/dx = sec^2(log(x))*1/x put the value of y1 too now, dy1/dx =...

Hi from Varma, According to me The best books on this ascept are, Play with Graphs – Arihant Pub. Graphs for JEE main and advance – by G.Tewani Functions and graphs – Vinay Kumar

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Given eqn. xe^(xy) – y = sin^2x, Differentiate y w.r.t. x as: (1)e^(xy) + xe^(xy)*[1.y + xdy/dx] – dy/dx = sin2x collect dy/dx, put x = 0: dy/dx = 1 is the answer.

Answer will always be 1. Differentiate in numerator and denominator both sides, 2^x * log2/ 2^x*log2 = 1

differential equation of thetangents of the parabola y=x^2 is given by : y = mx – am^2 a =1/4 y = mx -m^2/4................................(1) Since the tangent eqn. has only one constant...

Let x = cosa = > dx/da= -sina …................(1) y = sina = > dy/da = cosa …...............(2) From eqns. (1) and (2) dx/dy = –sina/cosa..............................(3) Now in integeral form, ydy...

The factorial is defined on natural numbers only; integration is for real functions (or extensions thereof with Lebesgue theory). Nevertheless, there are three generalizations that can make your...

Its very easy you just have to differentiate once and you will get the answer. Use product rule in the question to find out the differential equation

dy/dx = 1/2,is right ans. plz give the answer ….

Hllo Lakshmi! Since in your qstn x is tending to reach minus infinity, the answer will be infinity. Explaination: sin(1/x) range is betwn [-1,1] thus whatever ould be the limit it will give some...

these simple steps: 1. Reviewing the Basics of Calculus 2. Know that calculus is the study of how things are changing 3. Remember that functions are relationships between two numbers, and are used to ...

Rate of change x .i.e Differentiate it and it should be greater than x^4/4. x^3 + 3x^2 – 1 > x^4/4 or x^4/4 – x^3 – 3x^2 + 1 (x – 1) (ax^3 + bx^2 + cx + d) To determine other factors use sum of...

U need to tell me first with whom respect to u eant the differentiation? . Assuming y w.r.t x and a as constant. Differentitoing both sides : (1+2dy/dx)cos(x + 2y) + 4x = 0 + 2a {c is i think x here...

just differentiate the equation again and we will get this gets to

IM SORRY FRIEND I DONT WANT TO HURT U BUT THERE IS NO CHANCE OF NIT ON THIS SCORES BUT DO NOT LOOSE HOPE u can also easily get any of good central government college OR STATE GOVT COLLEGE U HAVE A...

Calculus is the study of how things change. It provides a framework for modeling systems in which there is change, and a way to deduce the predictions of such models. It is made up of two...

Hii Just solve in order to which the question says. use thediscriminant form of the area of atriangle in order to find out . You will get the required ratio of area of triangle

xE(-8,-1)U[1.2]U[3,8]

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