1. ## chain rule function!

am trying to sort out this problem below;

$(1-x^2)^{a+bx+cx^2}$

this time the function is raise to a quadratic equation.

thanks

2. ## Re: chain rule function!

Originally Posted by lawochekel
am trying to sort out this problem below;

$(1-x^2)^{a+bx+cx^2}$

this time the function is raise to a quadratic equation.

thanks
Logarithmic differentiation will probably be your best bet here.

Let $y = (1-x^2)^{a+bx+cx^2}$ so that $\ln(y) = (a+bx+cx^2)\ln(1-x^2)$

Expanding the brackets gives: $\ln(y) = a\ln(1-x^2) + bx\ln(1-x^2) + cx^2\ln(1-x^2)$

Now you can use the chain rule (and don't forget the differentiate the LHS too) and the product rules