Thursday, 15 May 2014

Find the derivative of fog(x) is f(x)= 2x-3 and g(x) = x^2-2

We have f(x)=
2x-3 and g(x) = x^2 - 2

fog(x) = f(g(x))

=> f( x^2 -
2)

=> 2*(x^2 - 2) - 3

=> 2x^2 - 4 - 3


=> 2x^2 - 7

The derivative of 2x^2 - 7 = 4x


The required derivative is 4x.


 

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