Home
Class 12
PHYSICS
Find (dy)/(dx), when y=sqrt(x)...

Find `(dy)/(dx)`, when
`y=sqrt(x)`

Text Solution

AI Generated Solution

To find \(\frac{dy}{dx}\) when \(y = \sqrt{x}\), we can follow these steps: ### Step 1: Rewrite the function First, we rewrite the square root function in terms of exponents: \[ y = \sqrt{x} = x^{1/2} \] ...
Promotional Banner

Topper's Solved these Questions

  • UNITS AND DIMENSIONS, BASIC MATHEMATICS

    MOTION|Exercise Exercise - 1 (Objective Problems) (SECTON-A:- UNIT AND DIMENSION )|20 Videos
  • UNITS AND DIMENSIONS, BASIC MATHEMATICS

    MOTION|Exercise Exercise - 1 (Objective Problems) (SECTION - B : Dimension and use of dimensions )|28 Videos
  • UNIT & DIMENSIONS

    MOTION|Exercise Exercise - 4 (Level - II) (PREVIOUS YEAR JEE ADVANCED)|10 Videos
  • VECTOR

    MOTION|Exercise Exercise - 3|18 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx), when (i) y=sqrt(x) (ii) y=x^(5)+x^(4)+7 (iii) y=x^(2)+4x^(-1//2)-3x^(-2)

Find (dy)/(dx) , when y=e^(sqrt(x))*log(cos sqrt(x))

Find (dy)/(dx), when y=sqrt((1-sin x)/(1+sin x))

Find (dy)/(dx) , when: y=(sqrtx(3x+5)^(2))/(sqrt(x+1))

Find (dy)/(dx) , when: y=x^(sqrtx)

Find (dy)/(dx) , when: y=(x^(5)sqrt(x+4))/((2x+3)^(2))

Find (dy)/(dx) when y=e^(sqrt(x))*log(cos sqrt(x))

Find (dy)/(dx) , when If y = sqrt((sec x - tanx)/(sec x + tanx)) , show that (dy)/(dx) = sec x (tanx - sec x) .

Find (dy)/(dx) , when: y=(x^(2)sqrt(1+x))/((1+x^(2))^(3//2))

Find (dy)/(dx) when y=log_(10)(sqrt(x-a)+sqrt(x-b))