Home
Class 12
MATHS
Find the derivative of the function give...

Find the derivative of the function given by `f(x)=(1+x)(1+x^2)(1+x^4)(1+x^8)`and hence find `f^(prime)(1)`.

Text Solution

AI Generated Solution

To find the derivative of the function \( f(x) = (1+x)(1+x^2)(1+x^4)(1+x^8) \), we can use the product rule. The product rule states that if you have a product of functions, the derivative is given by: \[ (fg)' = f'g + fg' \] In our case, we have four functions being multiplied together. We will denote them as: ...
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT|Exercise EXERCISE 5.7|17 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT|Exercise QUESTION|3 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT|Exercise EXERCISE 5.8|6 Videos

  • APPLICATION OF INTEGRALS

    NCERT|Exercise EXERCISE 8.2|7 Videos

  • DETERMINANTS

    NCERT|Exercise EXERCISE 4.4|5 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of the function given by f(x)=(1+x)(1+x^(2))(1+x^(4))(1+x^(8)) and,hence,find f'(1)

Find the derivative of the function f(x) given by f(x)=(1+x)(1+x^(2))(1+x^(4))(1+x^(8)) and hence find f'(1)

Find the derivative of the function given by : f(x)=(1+x)(1+x^(2))(1+x^(4)).....(1+x^(2n)) and hence, find f'(0).

Find the derivative of f given by f(x)=sin^(-1)x

Find the derivative of / given by f(x)=tan^(-1)x

Find the derivative of f(x)=(1)/(x)

Find the derivatives of the following (1-3) functions : f(x) = x+a

Find the range of the function f(x)=((1+x+x^(2))(1+x^(4)))/(x^(3))

Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

Find the domain of the function f(x)=(1)/(1+2sin x)