Monday

December 22, 2014

December 22, 2014

Posted by **Anonymous** on Thursday, May 12, 2011 at 12:54am.

- calculus -
**drwls**, Thursday, May 12, 2011 at 9:33amLet f(x) = y = x^3 + x

Since a cubic function is involved, I cannot write x(y) or g(x) explicitly.

y = 2 when x = 1. That is why g(2) = 1

dy/dx = 3x^2 + 1

When x = 1, which is when the inverse function g =2, then dy/dx = 4

The derivative of g(x) at that point is dx/dy = 1/(dy/dx) = 1/4

**Answer this Question**

**Related Questions**

Calculus - Let f be the function defined by f(x)=x^3 + x. If g(x)= the inverse ...

Maths - Correct each of the following incorrect statements: 1)The inverse of the...

Calculus - Lef f be the function defined by f(x)=x^3+x. If g(x) is the inverse ...

pre calculus - Find the inverse of the function below. Graph the function below ...

Algebra - The function f(x)=x 3 +1 4 x−1 4 is a monotonically increasing ...

Algebra(1st one was typo) - The function f(x)=x^3 +1/4 x −1^4 is a ...

Calculus - A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx...

Calculus - A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx...

Maths B - (a) What is the inverse of the function y = 3x2 ? (b) On the same set ...

math - The cost of producing q articles is given by the function C=f(q)=100+2q...