Error: Page not found

Questions discussed: 9927 x 9998, 1026 x 997, 11112 x 9998, 998^2, 1000099^2, 86 x 92, 99 x 99, 104 x 94, 102 x 108, 92 x 102 Welcome to Part 1 of our series on Multiplication Tricks! In this video, we'll be exploring some of the most effective and efficient methods for solving multiplication problems quickly and easily. We'll begin with a detailed explanation of the derivation behind each trick, so you can gain a deeper understanding of how and why they work. From there, we'll dive into a variety of multiplication shortcuts and techniques that you can use to streamline your calculations and save time. Whether you're a student studying math or someone who just wants to improve their mental math skills, this video has something for you. By the end of it, you'll have a better understanding of multiplication and be able to solve problems faster than ever before. So, if you're ready to take your multiplication skills to the next level, join us for Part 1 of our Multiplication Tricks series!Exercise 6.3 Question 18: Prove that the function given by

f(x) = x^3 - 3{x^2} + 3x - 100

is increasing in R.NCERT Exercise 6.2 Question 3: Show that the function given by

f(x) = \sin x

(a) increasing in

\left ( 0, \frac{\pi}{2} \right )

(b) decreasing in

\left ( \frac{\pi}{2}, \pi \right )

(0, \pi)

Question: Show that

\int{\frac{\sin x}{1 + \sin x}} = \sec x - \tan x + x + \text{C}

NCERT Exercise 6.1 Question 10 A ladder 5 m long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4 m away from the wall ?If

x = \sin t

and

y = \sin pt

, prove that

(1 - x^2)\frac{d^{2}y}{dx^2} - x\frac{dy}{dx} + p^2y = 0

.If

{\displaystyle a x^2 + 2hxy + b y^2 + 2gx + 2fy + c = 0 }

, then show that

\frac{dy}{dx} . \frac{dx}{dy} = 1

.NCERT Example – 47 Continuity and Differentiability Chapter 5: Find

\frac{dy}{dx}

in the following parametric function

x = a^{\left ( t+\frac{1}{t} \right )}, y = {\left ( t+\frac{1}{t} \right )}^a

.Differentiate the following function w. r. t. x, Question 12:

y = (\log x)^x  + (\sin^{-1}x)^{\sin x}