help@askiitians.com

+91-87964 74404

Grade 11Integral Calculus

If f(x) and g(x) are two fuctions with g(x)=x-1/x and fog(x)=x³-1/x³, then f’(x) is equal to?

murlikarthik manchala

10 Years agoGrade 11

1 Answer

Ajay

10 Years ago

solution below...

$Given\quad g(x)\quad =\quad x-1/x\quad and\quad fog(x)\quad =\quad x^{ 3 }-\frac { 1 }{ { x }^{ 3 } } \\ Or\quad f[g(x)]\quad =\quad x^{ 3 }-\frac { 1 }{ { x }^{ 3 } } \\ f[x-1/x]\quad =\quad x^{ 3 }-\frac { 1 }{ { x }^{ 3 } } \quad \quad =\quad { (x-1/x) }^{ 3 }-3(x-1/x)\\ put\quad x-1/x\quad =\quad y\\ f(y)\quad =\quad { y }^{ 3 }-3y\\ put\quad y\quad =\quad x\\ f(x)\quad =\quad x^{ 3 }-3x\\ f^{ ` }(x)\quad =\quad 3{ x }^{ 2 }\quad -3$

The area of a square field is 640000cm².what is its area in hectares

integral calculus

1 Answer Available

Last Activity: 3 Years ago

Please solve this integration. I am facing difficulty in it
How to solve this. Please solve anyone. Humble request

integral calculus

1 Answer Available

Last Activity: 4 Years ago

Using laplace transform, solve d²y/dt²+ dy/dt = t² +2t given that y=4 and y’=-2 and t=0

integral calculus

1 Answer Available

Last Activity: 4 Years ago

If 4th term of an A.p is zero, show that the 8th term is double the 6th term

integral calculus

1 Answer Available

Last Activity: 4 Years ago

View all Questions