Home
Class 12
MATHS
Differentiate (x^2+x+1)^4 with respect t...

Differentiate `(x^2+x+1)^4` with respect to `x` :

Text Solution

AI Generated Solution

To differentiate the function \( (x^2 + x + 1)^4 \) with respect to \( x \), we will use the chain rule. Here are the steps: ### Step 1: Identify the outer and inner functions Let \( u = x^2 + x + 1 \). Then we can rewrite the function as \( y = u^4 \). ### Step 2: Differentiate the outer function Using the chain rule, we differentiate \( y \) with respect to \( u \): \[ ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA|Exercise Solved Examples And Exercises|67 Videos

Similar Questions

Explore conceptually related problems

Differentiate (x^(x))^(x) with respect to x:

Differentiate sin(x^(2)+1) with respect to x:

Differentiate (cos x)^(x) with respect to x:

Differentiate 3^(x^(2)+2x) with respect to x:

Differentiate sqrt(x^(2)+x+1) with respect to x:

Differentiate sin(x^(x)) with respect to x:

Differentiate cos(x^(x)) with respect to x:

Differentiate sin(x^2) with respect to x.

Differentiate x^(x)^^x with respect to x:

Differentiate (tan x)^(1/x) with respect to x: